Answer:
V = 3217.0 m3
Step-by-step 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.
denotes the set of elements in both A and C, which is
.
denotes the complement of set B, which is the set of all elements that are in the universal set that are not in set B. In this case, this set is