Question

What is the volume of the beaseball round to the nearest whole number

Answer 1

The baseball is a sphere with diameter 74.7 mm.

The expression for the volume of a sphere is:

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

We express the radius as half the diameter (74.7/2=37.35) and solve:

`\begin{gathered} V=(4)/(3)\pi r^3 \\ V=(4)/(3)\pi\cdot((74.7)/(2))^3 \\ V=(4)/(3)\pi\cdot(37.35)^3 \\ V=(4)/(3)\pi\cdot52104,090375 \\ V=((4)/(3)\cdot52104,090375)\cdot\pi \\ V=69472.1205\pi \\ V\approx69472\pi \end{gathered}`

Answer: 69,472pi mm^3 (first option)