Question

The formula for the volume of a sphere is V=4/3πr³, where V is the volume and r is the radius. Solve the formula for r, and then use it to answer the question.
The volume of a soccer ball is about 371 cubic inches.

What is the radius of the soccer ball, to the nearest tenth of an inch? Use 3.14 for π. Help.

Answer 1

Answer:

B.  4.5 in

Step-by-step explanation:

volume of sphere V = 4/3 π r³

where V = 371 in³

           π = 3.14

find: radius r

solution:

371 = 4 (3.14) r³

         3

simplify:

371 (3) = 4(3.14) r³

371 (3) =  r³

4(3.14)

r³ =  1113  

      12.56

r = $\sqrt[3]{88.61}$

r = 4.5 in. therefore, the answer is B.

Answer 2

Answer:

4.5 inches to the nearest tenth

Step-by-step explanation:

V=4/3πr^3

Divide both sides by 4/3π:

r^3 =  V / 4/3π

r =  ∛ (V / 4/3 π)

When V = 371 inches:

r =  ∛ (371/ 4/3 π)

= 4.46 in