Question

I’m struggling on question number 16, me and friend are getting VERY different answers and I would like to get a good grade in this class!

Answer 1

Given a sphere of diameter, d, 2.5ft.

To find the volume, V, of the sphere, the formula to apply is

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

Where, the radius, r, is

`\begin{gathered} r=(d)/(2)=(2.5)/(2)=1.25ft \\ r=1.25ft \end{gathered}`

Substitute for r into the formula to find the volume of a sphere above

`\begin{gathered} V=(4)/(3)\pi r^3 \\ V=(4)/(3)*\pi*1.25^3 \\ V=8.18123\text{ ft}^3 \\ V=8.2\text{ ft}^3\text{ \lparen nearest tenth\rparen} \end{gathered}`

Hence, the volume, V, of the given sphere is 8.2 ft³ (the nearest tenth)