Mathematics: 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.

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Question A globe of Earth is in the shape of

aalexissm

13.02.2022

Volume = 11488.21

Area = 2461.76

Step-by-step explanation:

Given

$Radius, r = 14\ in$

Shape: Sphere

Solving (a): The Volume

This is calculated as:

$Volume = \frac{4}{3}\pi r^3$

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

$Volume = \frac{4}{3} * 3.14 * 14^3$

$Volume = \frac{4}{3} * 3.14 * 2744$

$Volume = \frac{4 * 3.14 * 2744}{3}$

$Volume = \frac{34464.64}{3}$

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

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