Find the volume of the cylinder. Express your answer in terms of π.



A: 26π in3


B: 800π in3


C: 640π in3


D: 160π in3

Find the volume of the cylinder Express your answer in terms of π A 26π in3 B 800π in3 C 640π in3 D 160π in3 class=

Respuesta :

Given:

The radius of the cylinder is 8 inches.

The height of the cylinder is 10 inches.

We need to determine the volume of the cylinder.

Volume of the cylinder:

The volume of the cylinder can be determined using the formula,

[tex]V=\pi r^2 h[/tex]

where r is the radius and h is the height.

Substituting [tex]r=8[/tex] and [tex]h=10[/tex] in the above formula, we get;

[tex]V= \pi (8)^2 (10)[/tex]

Simplifying, we get;

[tex]V=\pi (64)(10)[/tex]

Multiplying, we get;

[tex]V=640 \pi[/tex]

Thus, the volume of the cylinder is 640π in³

Hence, Option C is the correct answer.