Question

A globe in a museum is shaped like a sphere with a circumference of 5 meters around the globe's equator. What is the approximate volume of the globe?A. 2.1B. 17C. 2.7D. 65

Answer 1

The circumference of a circle is computed as follows:

`C=2\pi r`

Solving for r, and replacing with C = 5, we get:

`\begin{gathered} 5=2\pi r \\ (5)/(2\pi)=r \\ 0.8m\approx r \end{gathered}`

The volume of a sphere is computed as follows:

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

Substituting with r = 0.8, we get

`\begin{gathered} V=(4)/(3)\pi\cdot0.8^3 \\ V\approx2.1m^3 \end{gathered}`