Question

A
A sphere has a volume of 13.04 cm3.
Calculate the radius of the sphere.

Answer 1

`r=1.46 \textsf{ cm (nearest hundredth)}`

Explanation:

Volume of a sphere =
`\frac43\pi r^3`

Given volume = 13.04 cm³

`\implies 13.04=\frac43\pi r^3`

Multiply both sides by 3/4:

`\implies 9.78=\pi r^3`

Divide both sides by
`\pi`:

`\implies (9.78)/(\pi)=r^3`

Cube root both sides:

`\implies r=\sqrt[3]{(9.78)/(\pi)}`

`\implies r=1.460146149...`

`\implies r=1.46 \textsf{ cm (nearest hundredth)}`