What is the exact volume of the cylinder? Enter your answers in the terms of pie in the Box.

Question

asked Sep 13, 2023 126k views

1 Answer

Gavrie · Answer 1 · 2023-09-18T06:37:44+0000

ANSWER

$V=375\pi\operatorname{cm}^3$

Step-by-step explanation

We want to find the exact volume of the cylinder.

To do this, we apply the formula for volume of a cylinder. That is:

$V=\pi\cdot r^2\cdot h$

where r = radius

h = height

Therefore, the volume of the cylinder with radius of 5 cm and a height of 15 cm is:

$\begin{gathered} V=\pi\cdot5^2\cdot15 \\ V=\pi\cdot25\cdot15 \\ V=375\pi\operatorname{cm} \end{gathered}$

That is the volume of the cylinder.