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?

Respuesta :

Answer: [tex]2514.28\ cm^3[/tex]

Step-by-step explanation:

Given

The height of the cylinder is [tex]h=8\ cm[/tex]

Circumference of the base is [tex]20\pi \ cm[/tex]

suppose 'r' is the radius of the cylinder

[tex]\Rightarrow 2\pi r=20\pi\\\Rightarrow r=10\ cm[/tex]

The volume of a cylinder is [tex]V=\pi r^2h[/tex]

[tex]\Rightarrow V=\pi \times 10^2\times 8=2514.28\ cm^3[/tex]