Question

What is the volume of the cylinder below?

Answer 1

Answer:

Step-by-step explanation:

According to the diagram, the radius of this cyl. is 3 and the height is 4 (not 5).  The formula for the volume of a cylinder is:

V = pi*r^2*h.

Here, that volume is V = pi*3^2*4, or 36 pi cubic units.  That's Answer B.

Answer 2

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

Further explanation:

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

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

Here, ‘r” represents the radius of the cylinder and “h” represents the height of the cylinder.

Given:

The radius of the cylinder is ${\text{3 units}}$ and the height of the cylinder is ${\text{4 units}}$ and the slant height is $5{\text{ units}}$

The options of the volume are given as follows.

A. ${\text{72}}\pi {\text{uni}}{{\text{t}}^3}$

B. $36\pi {\text{uni}}{{\text{t}}^3}$

C. $45\pi {\text{uni}}{{\text{t}}^3}$

D. $90\pi {\text{uni}}{{\text{t}}^3}$

Explanation:

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

$\begin{aligned}{\text{Volume}} &= \pi {r^2}h\\&= \pi\times {\left( 3 \right)^2} \times 4\\&= \pi \times 9 \times 4\\&= 36\pi\\\end{aligned}$

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

Option A is not correct.

Option B is correct.

Option C is not correct.

Option D is not correct.

Hence, the volume of the right cylinder is $\boxed{36\pi {\text{ unit}}{{\text{s}}^3}}.$

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.
3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Mensuration

Keywords: Cylinder, surface area of the cylinder, volume of the cylinder, right cylinder, 72, 36, 45, 90, height, radius depth.