Question

A company produces air-filled world globes in the shape of a sphere as shown. What is the volume of a globe with a radius of 10 centimeters? Leave your answer in terms of π.A. 40π cubic centimetersB. 133π cubic centimetersC. 750π cubic centimetersD. 1333π cubic centimeters

Answer 1

The formula for getting the volume of a sphere is:

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

where r = radius of the sphere.

Let's plug into the formula the given radius of the sphere in the question.

$V=\frac{4}{3}\pi(10cm)^3$

Then solve.

Multiply 10 cm by itself three times.

$V=\frac{4}{3}\pi(10cm\times10cm\times10cm)$$V=\frac{4}{3}\pi(1000cm^3)$

Multiply 1000 by 4, then divide by 3.

$V=\frac{4000}{3}\pi cm^3$$V=1333.33\pi cm^3$

Rounding the calculated volume to the nearest whole number, the volume of the sphere is 1,333π cm³ (Option D or 4)

Answer:

The volume of the sphere is 1,333π cm³ (Option D or 4)