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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.

The formula for the volume of a sphere is V43πr where V is the volume and r is the radius Solve the formula for r and then use it to answer the question The vol class=

Respuesta :

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

ricchad

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 = [tex]\sqrt[3]{88.61}[/tex]

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

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