Question

Volume of Cylinders, Cones, and Spheres

1
2
The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?
○ 3² cm³
π
O 87 cm³
○ 64 cm³
O 167 cm³

Answer 1

Answer:
`(32\pi )/(3) cm^(3)`

Explanation:

Since the diameter is 4 cm, we know the radius is 2 cm since diameter = 2 x radius. The formula for a sphere's volume is
`(4\pi )/(3)`×
`r^(3)`, so by plugging in 2 we get
`(4\pi )/(3)`×
`2^(3)` =
`(4\pi )/(3)` x 8 =
`(32)/(3)`
`\pi`
`cm^(3)`