Question

Question

A globe of Earth is in the shape of a sphere with a radius of 14 inches. Find its a volume and b surface area.
Round the answers to the nearest hundredth.

Answer 1

`Volume = 11488.21`

`Area = 2461.76`

Explanation:

Given

`Radius, r = 14\ in`

Shape: Sphere

Solving (a): The Volume

This is calculated as:

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

Take
`\pi` as 3.14 and substitute 14 for r

`Volume = (4)/(3) * 3.14 * 14^3`

`Volume = (4)/(3) * 3.14 * 2744`

`Volume = (4 * 3.14 * 2744)/(3)`

`Volume = (34464.64)/(3)`

`Volume = 11488.21`

Solving (b): The Surface Area

This is calculated as follows:

`Area = 4\pi r^2`

Take
`\pi` as 3.14 and substitute 14 for r

`Area = 4 * 3.14 * 14^2`

`Area = 4 * 3.14 * 196`

`Area = 2461.76`