Question

Help‼️What is the volume of the cylinder below?

Answer 1

The volume of the right cylinder is $\boxed{96\pi {\text{ unit}}{{\text{s}}^3}}.$

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 ${\text{4 units}}$ and the height of the cylinder is ${\text{6 units}}.$

The options of the volume are given as follows.

A. ${\text{112}}\pi {\text{uni}}{{\text{t}}^3}$

B.$96\pi {\text{uni}}{{\text{t}}^3}$

C. $168\pi {\text{uni}}{{\text{t}}^3}$

D. $84\pi {\text{uni}}{{\text{t}}^3}$

Explanation:

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

$\begin{aligned}{\text{Volume}}&= \pi {r^2}h\\&= \pi\times{\left( 4 \right)^2} \times 6\\ &= \pi \times 16 \times6\\&=96\pi \\\end{aligned}$

The volume of the cylinder is $96\pi {\text{ unit}}{{\text{s}}^3}.$

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 $\boxed{96\pi {\text{ unit}}{{\text{s}}^3}}.$

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, 112, height, and radius depth.

Answer 2

we know that

volume of a cylinder=pi*r²*h

in this problem

r=4 units

h=6 units (the height is the distance perpendicular to the base)

so

volume of a cylinder=pi*4²*6---------> Volume=96*pi units³

therefore

the answer is the option B

$96\pi units^{3}$