Question

What is the volume (in cm^3) of a sphere with a circumference of 8.20 cm?

Answer 1

9.31 cm³ (3 sf)

Explanation:

Circumference of a sphere = circumference of a circle = 2
`\pi`r

⇒ 2
`\pi`r = 8.20 cm

⇒ r = 8.20 ÷ 2
`\pi` =
`(41)/(10\pi )`

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

=
`(4)/(3) \pi ((41)/(10\pi )) ^3`

=
`(68921)/(750\pi ^2)`

= 9.310876397... = 9.31 cm³ (3 sf)