Question

What is the volume of a sphere with a diameter of 15 cm? Round the answer to the nearest whole number

answers:
1,767 cm3
236 cm3
442 cm3
14,137 cm3

Answer 1

if the diameter of the sphere is 15, then its radius is half that, or 7.5


`\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\qquad \begin{cases} r=radius\\ -----\\ r=7.5 \end{cases}\implies V=\cfrac{4\pi (7.5)^3}{3}`

Answer 2

The formula for the volume of a sphere is
V = (4π/3)r^3
Since r = d/2, this can be written in terms of diameter as
V = (π/6)d^3

You have d=15 cm, so
V = (π/6)*(15 cm)^3 ≈ 1767 cm^3


The 1st selection is appropriate.