Question

PLEASE HELP AWARDING 50 POINTS!

What is the volume of a cylinder with a base radius of 2 and height of 5?


Either enter an exact answer in terms of π or use 3.143.143, point, 14 for π, and enter your answer as a decimal.

Answer 1

20π cubic units

Explanation:

`\boxed{\begin{minipage}{4 cm}\underline{Volume of a cylinder}\\\\$V=\pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}`

Given:

• r = 2
• h = 5

Substitute the given values into the formula for the volume of a cylinder and solve for V:

`\implies V=\pi \cdot 2^2 \cdot 5`

`\implies V=\pi \cdot 4 \cdot 5`

`\implies V=\pi \cdot 20`

`\implies V=20\pi\;\; \sf cubic \;units`