Question

What is the diameter of a sphere with a volume of 332\text{ cm}^3,332 cm 3 , to the nearest tenth of a centimeter?

Answer 1

The diameter is 8.6cm

Explanation:

Given

Shape: Sphere

`Volume = 332cm^3`

Required

Determine the diameter of the sphere

First, calculate the radius using:

`Volume = (4)/(3) \pi r^3`

Substitute:
`Volume = 332cm^3`

`332= (4)/(3) \pi r^3\\`

Solve for r

`r^3 = (332 * 3)/(4 * \pi)`

`r^3 = (996)/(4 * \pi)`

`r^3 = (249)/(\pi)`

`r^3 = (249)/(3.142)`

`r^3 = 79.25`

Take cube roots

`r = \sqrt[3]{79.25}`

`r = 4.3`

Diameter (D) is calculated as:

`D = 2r`

`D = 2 * 4.3`