What is the exact volume of the cylinder? 32π in³ 64π in³ 128π in³ 512π in³ Cylinder with radius labeled 4 inches and height labeled 8 inches

Respuesta :

we know that

The volume of a cylinder is equal to

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

where

r is the radius of the base of the cylinder

h is the height of the cylinder

In this problem we have

[tex]r=4\ in\\h=8\ in[/tex]

substitute the values in the formula

[tex]V=\pi 4^{2} 8=128 \pi\ in^{3}[/tex]

therefore

the answer is the option

[tex]128 \pi\ in^{3}[/tex]

The exact volume of the cylinder is [tex]\\ 128\pi[/tex]

The volume of a cylinder is calculated as:

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

Given that:

Radius (r) = 4 inches

Height (h) = 8 inches

The equation becomes

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

Substitute values for h and r

[tex]V = \pi * 4^2 * 8[/tex]

Evaluate the exponent

[tex]V = \pi * 16 * 8[/tex]

Evaluate the product

[tex]V = \pi * 128[/tex]

So, we have:

[tex]V = 128\pi[/tex]

Hence, the exact volume of the cylinder is [tex]\\ 128\pi[/tex]

Read more about volumes at:

https://brainly.com/question/9554871