Question

The height of a cylinder is 8 centimeters. The circumference of the base of the cylinder is 20π centimeters. Which measurement is closest to the volume of the cylinder in cubic centimeters?

Answer 1

Answer: $2514.28\ cm^3$

Step-by-step explanation:

Given

The height of the cylinder is $h=8\ cm$

Circumference of the base is $20\pi \ cm$

suppose 'r' is the radius of the cylinder

$\Rightarrow 2\pi r=20\pi\\\Rightarrow r=10\ cm$

The volume of a cylinder is $V=\pi r^2h$

$\Rightarrow V=\pi \times 10^2\times 8=2514.28\ cm^3$