Question

What is the volume of the cylinder below?

Answer 1

The volume of the cylinder is $\boxed{288\pi {\text{ unit}}{{\text{s}}^3}}$.Option (C) is correct.

Further explanation:

Given:

Theheight of the cylinder is ${\text{8 units}}$ and the radius of the cylinder is ${\text{6 units}}.$

The options of the volume are given as follows.

A. ${\text{216}}\pi {\text{uni}}{{\text{t}}^3}$

B. $324\pi {\text{uni}}{{\text{t}}^3}$

C. $288\pi {\text{uni}}{{\text{t}}^3}$

D. $432\pi {\text{uni}}{{\text{t}}^3}$

Explanation:

The formula for the volume of the cylinder can be expressed as,

$\boxed{{\text{Volume}} = \pi {r^2}h}$

‘r” is the radius of the cylinder and “h” is the height of the cylinder.

The volume of the right cylinder can be obtained as follows,

$\begin{aligned}{\text{Volume}} &= \pi {r^2}h\\&= \pi\times {\left( 6 \right)^2} \times 8\\&= \pi\times 36 \times 8\\&=288\pi \\\end{aligned}$

The volume of the cylinder is $36\pi {\text{ unit}}{{\text{s}}^3}.$

The volume of the cylinder is $\boxed{288\pi {\text{ unit}}{{\text{s}}^3}}$.Option (C) is correct.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Mensuration

Keywords: Cylinder, surface area of the cylinder, volume of the cylinder, right cylinder, height, radius depth.

Answer 2

Answer:

C) 288π units³

Step-by-step explanation:

When the height of an oblique cylinder is given, the formula for volume is

V = π×r²×h

Our radius is 6 and our height is 8:

V = π(6²)(8) = π(36)(8) = 288π