Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the volume of the cylinder below? a. $196pi$ units$^3$ b. $112p…

Question

what is the volume of the cylinder below? a. $196pi$ units$^3$ b. $112pi$ units$^3$ c. $98pi$ units$^3$ d. $784pi$ units$^3$

Explanation:

Step1: Recall cylinder volume formula

The volume $V$ of a cylinder is $V = \pi r^2 h$, where $r$ is radius, $h$ is height.

Step2: Substitute given values

Here, $r=7$, $h=4$. Substitute into formula:
$V = \pi \times 7^2 \times 4$

Step3: Calculate the value

First compute $7^2=49$, then $49 \times 4=196$. So $V=196\pi$.

Answer:

A. $196\pi$ units$^3$