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What is the radius of a sphere with a volume of 28526 in 3 , 28526 in 3 , to the nearest tenth of an inch?

User Littleguga
by
4.2k points

1 Answer

1 vote

Answer:

19.0 in

Explanation:

From the question given above, the following data were:

Volume (V) of sphere = 28526 in³

Pi (π) = 3.14

Radius (r) =?

The radius of the sphere can be obtained as follow:

V = 4/3 πr³

28526 = 4/3 × 3.14 r³

28526 = 12.56r³ / 3

Cross multiply

12.56r³ = 28526 × 3

12.56r³ = 85578

Divide both side by 12.56

r³ = 85578 / 12.56

Take the cube root of both side

r = ³√(85578 / 12.56)

r = 19.0 in

Thus, the radius of the sphere is 19.0 in

User Ruka
by
4.3k points