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

Verified Answer :

we know that

The volume of a cylinder is equal to

\(V=\pi r^{2} h\)

where

r is the radius of the base of the cylinder

h is the height of the cylinder

In this problem we have

\(r=4\ in\\h=8\ in\)

substitute the values in the formula

\(V=\pi 4^{2} 8=128 \pi\ in^{3}\)

therefore

the answer is the option

\(128 \pi\ in^{3}\)

The exact volume of the cylinder is \(\\ 128\pi\)

The volume of a cylinder is calculated as:

\(V = \pi r^2h\)

Given that:

Radius (r) = 4 inches

Height (h) = 8 inches

The equation becomes

\(V = \pi r^2h\)

Substitute values for h and r

\(V = \pi * 4^2 * 8\)

Evaluate the exponent

\(V = \pi * 16 * 8\)

Evaluate the product

\(V = \pi * 128\)

So, we have:

\(V = 128\pi\)

Hence, the exact volume of the cylinder is \(\\ 128\pi\)

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