Answers
Step-by-step explanation:
Appropriate QuestioN :The volume of a cylinder is 108π cm³ and its height is 12 cm. What is the length of the cylinder's radius?Need to FinD :We have to find the length of the cylinder's radius.[tex] \red{\frak{Given}} \begin{cases} & \sf{Volume\ of\ the\ cylinder\ =\ {\pmb{\sf{108{\pi}\ cm^3.}}}} \\ & \sf{Height\ of\ the\ cylinder\ =\ {\pmb{\sf{12\ cm.}}}} \end{cases}[/tex]
We know that,
The volume of a cylinder is the density of the cylinder which shows the amount of material contained in the cylinder. The volume of the cylinder is given by, πr²h.Where,
r is for radius.h is for height.[tex]\rule{200}{3}[/tex]
Now, let's calculate the length of the cylinder's radius.[tex] \sf \dashrightarrow {Volume\ of\ cylinder\ =\ {\pi}r^2h} \\ \\ \\ \sf \dashrightarrow {108{\pi}\ =\ {\pi}r^2h} \\ \\ \\ \sf \dashrightarrow {108{\cancel \pi}\ =\ {\cancel \pi}r^2 \times 12} \\ \\ \\ \sf \dashrightarrow {108\ =\ r^2 \times 12} \\ \\ \\ \sf \dashrightarrow {\dfrac{\cancel{108}}{\cancel{12}}\ =\ r^2} \\ \\ \\ \sf \dashrightarrow {r^2\ =\ 9} \\ \\ \\ \sf \dashrightarrow {r\ =\ \sqrt{9}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{r\ =\ 3\ cm.}}}}_{\sf \blue{\tiny{Radius\ of\ cylinder}}}} [/tex]
∴ Hence, the length of the cylinder's radius is 3 cm.
Related Questions
What is a reflection on a coordinate plane?
Answers
A reflection on a coordinate plane is when the points on the other side of a coordinate plane gives off a mirror effect. Hope I helped!!!
What expression represents the volume of this prism as a product of the area of its base and its height?
Drag a number to each box to complete the expression.
1 2 3 4 8 9 12
[ ] x [ ] cubic units
Answers
Solution:
1. Finding the product of the base of the rectangular prism
Area of base of rectangular prism = LBArea of base of rectangular prism = 2 × 3 Area of base of rectangular prism = 6 units²2. Writing the expression for the volume of the prism
Volume = Length x Width x HeightVolume = Base x HeightVolume = 6 x 5 units³Area of base
3(5)15units²Volume:-.
Area of base×Height15(2)30units³What is the product
(x^4)(3x^3-2)(4x^2+5x)
Answers
Answer:
the first option
Step-by-step explanation:
when exponents are multiplied together, they add their values together.
example: y^2 x y^3 = y^5
written out: y x y x y x y x y = y^5
Answer:A
Step-by-step explanation:
The scale of a map is 1:3,000,000. What is the actual distance in km corresponding to 12 cm on the map?
3600 km
360 km
36 km
3.6 km
Answers
Answer:
Step-by-step explanation:
The scale number can be interpreted as (1cm/3,000,000 km), a conversion factor. Since it is a conversion factor, we can invert it to the form:
(3,000,000 km/1cm)
A measure of 12cm on the map would correspond to:
(12cm)*((3,000,000 km/1cm) = 42,000,000 km
Wow - a long trek, if you need water.
Note that inverting the conversion factor isn't totally necessary, since we could use the original form and divide:
12 cm/(1cm/(3,000,000km)) = 42,000,000 km
But I dislike division, so I always invert a conversion factor if it makes the calculation more convenient, for me.
Which is the destructive interference formula for diffraction grating problems? dsin = dcos = dcos = n dsin = n
Answers
The destructive interference formula for diffraction grating problems is [tex]d\ sin(\theta) = (n+\dfrac{1}{2} )\lambda[/tex].
What is destructive interference?When the maxima of two waves are 180 degrees out of phase, destructive interference occurs: a positive displacement of one wave is cancelled exactly by a negative displacement of the other wave. The resultant wave has zero amplitude.
In a diffraction grating, the formula for brighter patches arising from constructive interference and darker patches arising from destructive interference is:
[tex]d\ sin(\theta) = n\lambda[/tex]
Here, d is the grating spacing, θ is the angle of light, n represents the fringe order, and w denotes the wavelength.
The value of N can only be integers values.
Now, Because destructive interference occurs between the fringes, the destructive interference formula is
[tex]d\ sin(\theta) = (n+\dfrac{1}{2} )\lambda[/tex]
where n is again an integer.
Hence, the destructive interference formula for diffraction grating problems is [tex]d\ sin(\theta) = (n+\dfrac{1}{2} )\lambda[/tex].
Learn more about Destructive Interference:
https://brainly.com/question/16098226
Is the number 501
evenly divisible by
the number 3?
Yes or no
Answers
WILL GIVE BRAINLIEST IF CORRECT PLEASE ANSWER!!!!
The figure below is a square, Find the length of side x in simplest radical form with a rational denominator.
Answers
Answer: 2sqrt(5)
Step-by-step explanation:
15x+10y=8xy+28x find an expression for y in terms of x
Answers
Answer:
y = [tex]\frac{13x}{10-8x}[/tex]
Step-by-step explanation:
15x + 10y = 8xy + 28x ( subtract 15x from both sides )
10y = 8xy + 13x ( subtract 8xy from both sides )
10y - 8xy = 13x ← factor out y from each term on the left side
y(10 - 8x) = 13x ← divide both sides by (10 - 8x)
y = [tex]\frac{13x}{10-8x}[/tex]
Answer:
y = 13x/10-8x
Step-by-step explanation:
15x + 10y = 8xy + 28x
10y = 8xy + 13x
10y - 8xy = 13x
y(10 - 8x) = 13x
y = 13x/10-8x
What is the vertical distance from the orgin to the point (6,3)
Answers
Answer:
3.
Step-by-step explanation:
The y axis is vertical, and the origin is (0, 0). Therefore, since 3 is the y, the vertical distance is 3 and the horizontal, if you need it, is 6.
Can you help please jjjjujjjjjjjhhhhhhhhhhhh
Answers
Answer:
above is the solution to the question
25 = w
There were 25 students in the class
Percent %
(P)
SHOW ALL WORK ON NEXT PAGE
Scenario
Whole Part
(w) (T)
1) 75% of 120 is what number?
2) What number is 20% of 50?
3) 25 is what percent of 90?
4) A bag of candy contains 200 pieces, and
20% of the pieces in the bag are red.
5) Fifty percent of the 35 students earned
a B in class.
6) The 17 boys in the class represent 65%
of the students in class.
Answers
Answer:
1. 75
[tex] \frac{75 }{1} \times \ \frac{120}{100} = 15 \times 6 \\ \\ = 90[/tex]
2.
[tex] \frac{20}{1} \times \frac{50}{100 } \\ = 10[/tex]
3.
[tex] \frac{25}{100} \times \frac{90}{1} \\ = 22.5[/tex]
4.
[tex] \frac{20}{1} \times \frac{200}{100} \\ = 40[/tex]
5.
[tex] \frac{35}{1} \times \frac{50}{100} \\ = 17.5[/tex]
6.
[tex] \frac{17}{1} \times \frac{65}{100} \\ = 11.05[/tex]
Hope I'm right
Kim had $472.15 in her checking account.
She deposited $188.50 and wrote a check
for $263.89. How much is in Kim's checking
account now?
Answers
Answer:
Kim's checking account has $396.76 left.
Step-by-step explanation:
Kim had $472.15 in her checking account. She deposited $188.50 and wrote a check for $263.89. How much is in Kim's checking account now?
The equation tells us that Kim added 188.5 to the original 472.15 in her checking account. 472.15 + 188.5 = 660.65But then the equation also says she took out, or wrote a check, for 263.89. 660.65 - 263.89 = 396. 76 This means that kim's checking account has $396.76 left.On Tuesday, Jaheim and three of his friends ate dinner at a restaurant where meals cost $12 per person, but are 25% off every Tuesday. The tax on their meal was 8%, and they left a tip that was 20% of the pre-tax price.
Note that taxes are calculated based on the discounted cost of the meal before adding a tip, and tips are calculated based on the discounted cost of the meal before adding tax.
Part A. Enter an expression that can be used to find the cost of one person’s meal, not including tax or tip, on a Tuesday.
Part B. How much did the four friends spend in all on dinner? Round your answer to the nearest penny
Answers
Answer:
Part A:
$12 x 1
Part B: $64.80
tep-by-step explanation:
please show the calculations
Answers
Answer:
It will take 7 days for the farmer to ploughs his land in 3 days.
Step-by-step explanation:
12÷5=2.4
2.4×3=7.2
so if you want to round it it is =7
Trigonometry, due in a few hours, 100 pts
Answers
Answer:
a) 120°
b) 16√3 ≈ 27.7 cm²
Step-by-step explanation:
a)Each exterior angle of a regular polygon measures 360° divided by the number of sides. For a hexagon, the exterior angle is 360°/6 = 60°. That means the adjacent interior angle is 180°-60° = 120°.
Angle ABC measures 120°.
__
b)The area of triangle ABC can be found using the formula ...
A = 1/2ab·sin(C) . . . . area of triangle with sides a, b, and angle C between them
A = 1/2(8 cm)(8 cm)sin(120°) = (32 cm²)(√3/2) = 16√3 cm²
The area of the triangle is 16√3 cm² ≈ 27.7 cm².
Answer:
∠ABC = 120°
ΔABC = 16√3 cm²
Step-by-step explanation:
Part (a)
Sum of interior angles of a regular polygon = (n - 2) × 180°
(where n is the number of sides)
⇒ Sum of interior angles of a regular hexagon = (6 - 2) × 180° = 720°
All the interior angles in a regular polygon are equal.
⇒ Interior angle = sum of interior angles ÷ number of sides
⇒ ∠ABC = 720° ÷ 6
⇒ ∠ABC = 120°
------------------------------------------------------------------------
Part (b)
Use the sine rule for area of a triangle:
[tex]\dfrac12ab \sin(C)[/tex]
(where a and b are the sides and C is the included angle)
Given:
a = 8b = 8C = ∠ABC = 120°Substituting values into the formula:
[tex]\implies \dfrac12\cdot 8 \cdot 8 \sin(120)=16\sqrt{3} \ \sf cm^2[/tex]
The cheerleaders from Newberg High School are doing a giftwrapping fundraiser at a clothing
store. Yesterday, they wrapped 26 small clothing boxes and 39 large clothing boxes, using a
total of 468 feet of wrapping paper. The day before, they wrapped 28 small clothing boxes
and 39 large clothing boxes, using a total of 480 feet of gift wrap. How much paper does it
take to wrap each size of box?
Each small box uses
feet of paper and each large one uses
feet.
Answers
Answer:
Step-by-step explanation:
It takes 8 feet to wrap the small box and 12 feet to wrap the large box
Step-by-step explanation:
The cheerleaders from Campo high school are doing a gift wrapping fundraiser at a clothing store
Yesterday, they wrapped 36 small clothing boxes and 25 large clothing boxes, using a total of 588 feet of wrapping paper
The day before, they wrap 27 small clothing boxes and 29 large clothing boxes, using a total of 564 feet of gift wrap
We need to find how much paper it takes to wrap each size of box
Assume that they need x feet to wrap a small box and y feet to wrap a large box
∵ The small box is wrapped by x feet
∵ The large box is wrapped by y feet
∵ They wrapped 36 small clothing boxes and 25 large clothing
boxes, using a total of 588 feet
∴ 36x + 25y = 588 ⇒ (1)
∵ They wrapped 27 small clothing boxes and 29 large clothing
boxes, using a total of 564 feet
∴ 27x + 29y = 564 ⇒(2)
Now we have a system of equation to solve it
Multiply equation (1) by -3 and equation (2) by 4 to eliminate x
∵ -108x - 75y = -1764 ⇒ (3)
∵ 108x + 116y = 2256 ⇒ (4)
- Add equations (3) and (4)
∴ 41y = 492
- Divide both sides by 41
∴ y = 12
- Substitute the value of y in equation (1) or (2)
∵ 27x + 29(12) = 564
∴ 27x + 348 = 564
- Subtract 348 from both sides
∴ 27x = 216
- Divide both sides by 27
∴ x = 8
It takes 8 feet to wrap the small box and 12 feet to wrap the large box
Find m
A.(1/3)°
B. 0.99°
C. 1.23°
D. 70.53°
Answers
Answer:
D
Step-by-step explanation:
using the cosine ratio in the right triangle
cos ABC = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex] , then
∠ ABC = [tex]cos^{-1}[/tex] ( [tex]\frac{1}{3}[/tex] ) ≈ 70.53° ( to 2 dec. places )
Janelle has 1/2 of a pizza leftover from dinner last night. If she eats 2/6 of the remaining pizza, what fraction of the whole pizza did she eat.
(pls show the work)
Answers
Answer:
1/4 that's left over because if your take away 1/2 out of 2/6 it = to 1/4
Answer:
1/4 is what's left over because if you take away 2/6-1/2 = to 1/4
Step-by-step explanation:
⚠️⚠️PLASE HELP ME SOLVE AS SOON AS POSSIBLE⚠️⚠️
Answers
Answer:
12 in.
Step-by-step explanation:
2x + x + 3/2x + 1/2x = 40 in. = 5x
x = 8 in.
3(8)/2 = 12
PLEASE HELP ILL DO ANYTHING I REALLY REALLY NEED HELP ITS 5TH GRADE MATH!
Rick is snipping construction paper into rectangles for a project. He needs to snip one rectangle that is 10 inches × 15 1/2 inches. He needs to cut another rectangle that is 10 1/4 inches by 10 1/2 inches. How many total square inches of construction paper does Rick need for his project?
Answers
Answer:
262.625 square inches
Step-by-step explanation:
10 x 15.5 = 155
10.25 x 10.5 = 107.625
add together = 262.625
The area of a square is 289 centimeters squared. What is the perimeter?
Answers
Answer: 68
Step-by-step explanation:
A rectangluar prism is shown. What is the volume of the prism?
26.5 cubic inches
148 cubic inches
452 cubic inches
624 cubic inches
Answers
Answer:
624 cubic inches
Step-by-step explanation:
12 x 8 x 6.5 = 624
A plane left Chicago at 8:00 a.m. At 1:00 p.m., the plane landed in Los Angeles, which is 1,500 miles away. What was the average speed of the plane for the trip?
Answers
Answer:
299.99801 mph
Step-by-step explanation:
Average speed = Total distance/ Total time
= 2414(km)/5
=482.8 km/h
=299.99801 mph
Pls help
What is the formula to find the surface area involving area of the base and perimeter of the base.
Answers
Given the following cone, find the length of the slant. Round to the nearest tenth if necessary.
Answers
Answer: 22.4 ft
Step-by-step explanation:
Nancy pays 30% of her $3100 salary in taxes. How much money does she have left after paying the tax?
Answers
3100-930=2170
She has $2170 left
solve -3x + 6 > 30 using inverse operations
Answers
Answer:
y=30
Step-by-step explanation:
the figure shows two triangles on a coordinate grid..
which set of transformations is performed on triangle ABC to form A'B'C? (100 points plss hurry)
Answers
Answer:
C. 180-degree rotation counterclockwise followed by a translation of 5 units to the left
Step-by-step explanation:
Answer:
180° counterclockwise rotation about the origin followed by a translation 5units left
Step-by-step explanation:
Rule for 180° counterclockwise rotation is
(x,y)=(-x,-y)Take any point to prove
let it be A
A(-4,-1)Rotate
A'(-(-4),-(-1))A'(4,1)Translate 5 units left(change in x)
A"=(4-5,1)A"=(-1,1)Yes verified
What is y-4=-7(x+1) in standard form
Answers
Answer:
7x+y=-3
Step-by-step explanation:
y-4=-7(x+1)
y-4=-7x-7
y=-7x-7+4
y=-7x-3
-7x-y=3
7x+y=-3
Line m is tangent to the circle. Find the indicated measure
Answers
Answer:
105°
Step-by-step explanation:
The measure of an inscribed angle is half the measure of the arc it subtends. For an arc of 210°, an inscribed angle that subtends it will have a measure of 105°.
We normally think of the sides of an inscribed angle as being a chord. However, that chord can be considered part of a secant. When the two points of intersection with the circle get arbitrarily close together, the chord becomes a point, and the secant becomes a tangent.
That is, the angle made by this geometry is simply a degenerate case of an inscribed angle. The relationship with the arc measure is unchanged.
m∠1 = 105°