Question

Which is closest to the volume of a cylinder with a height of 11 inches and
a circumference of 8 1/2 inches?
A 47 in 3
B 63 in 3
C 94 in. 3
D 252 in. 3

Answer 1

Answer:

The closest to the volume of cylinder is 63 in.³.

Step-by-step explanation:

Given:

Cylinder with a height of 11 inches and  a circumference of 8 1/2 inches.

Now, to find the volume.

As circumference is given we get the radius by putting formula:

Circumference = 8 1/2 inches = 17/2 inches.

Let the radius be $r.$

$Circumference=2\pi r$

Taking the value of π = 3.14.

$\frac{17}{2}=2\times 3.14\times r$

$8.5=6.28\times r$

Dividing both sides by 6.28 we get:

$1.35=r$

So, radius = 1.35 inches.

Height = 11 inches.

Now, putting the formula to get the volume:

$Volume=\pi r^2h$

$Volume=3.14\times 1.35^2\times 11$

$Volume=3.14\times 1.8225\times 11$

$Volume=3.14\times 20.0475$

$Volume=62.949\ inches^3$

Hence, the volume of cylinder = 63 inches³ (approximately).

Therefore, the closest to the volume of cylinder is 63 in.³.

Answer 2

The volume of the cylinder is 63 in³ and the right option is B 63 in.³.

To calculate the volume of the cylinder, we use the formula below.

Formula:

• V = πr²h.............. Equation 1

Where:

• V = Volume of the cylinder
• h = Height of the cylinder
• r = Radius of the cylinder.

From the question,

Given:

• Circumference = 8.5 inches

Note: radius = circumferenve/(2×pie)

• r = 8.5/(2π)
• h = 11 inches.
• π = 3.14

Substitute these given values into equation 1

• V = π(8.5/2π)²×11
• V = 18.0625×11/π
• V = 18.0625×11/3.14
• V ≈ 63 in³

Hence, The volume of the cylinder is 63 in³ and the right option is B 63 in.³
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