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
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 \(\\ 128\pi\)
Read more about volumes at:
https://brainly.com/question/9554871