Answer:
V = 3217.0 m3
Explanation:
The base area is given and the height is equal to twice the radius.
Use the formula for the area of a circle to solve for the radius of the cylinder.
A=πr2
Substitute 64π for A.
64π=πr2
Divide both sides by π.
64=r2
Take the positive square root of both sides.
8=r
Therefore, the radius is equal to 8 m.
The height is equal to twice the radius.
h=2r
Substitute 8 for r.
h=2⋅8
Simplify.
h=16
Therefore, the height is equal to 16 m.
To find the volume of the cylinder, use the formula for the volume of a cylinder, V=πr2h.
Substitute 8 for r and 16 for h.
V=π⋅82⋅16
Simplify.
V=1024π
Use a calculator to approximate.
V≈3217.0 m3
Therefore, the volume of the cylinder is approximately 3217.0 m3.