2 Answers

Apmeyer · Answer 1 · 2021-10-20T12:13:37+0000

Answer:

7,234.56 cm^2

Explanation:

We want to find the volume of the beach ball. The beach ball is in the shape of a sphere. The formula for the volume of a sphere is :

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

We know the width, or diameter of the sphere is 24 cm. We need to find the radius. The radius is half the diameter.

r= d/2

r= 24 cm/2

r= 12 cm

The radius is 12 cm, and we can substitute it into the formula.

$V=(4)/(3) \pi (12 cm) ^3$

First, evaluate the exponent.

(12 cm)³= 12 cm * 12cm * 12 cm= 144 cm² * 12 cm = 1728 cm³

$V=(4)/(3) \pi * 1728 cm^3$

Substitute 3.14 in for pi.

V=(4)/(3) * 3.14 * 1728 cm^3

Multiply all three numbers together.

V= 4.18666666 * 1728 cm^3

V= 7234.55999 cm^3

Round to the nearest hundredth. The 9 in the thousandth place tells us to round the 5 to a 6 in the hundredth place.

V= 7234.56 cm^3

The volume of the beach ball is 7,234.56 cubic centimeters and choice 3 is correct.

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