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3 years ago

Find the radius of sphere with a volume of 1372π/3 cubic feet.

Mathematics

1 answer:

Arisa [49]3 years ago

4 0

Answer:

The radius of the sphere is 7m

Step-by-step explanation:

Given

Volume of a sphere = 1372π/3 m³

Required

The radius.

The volume of a sphere is calculated using the following formula.

V = 4/3 πr³

Where V = volume of the sphere and r represents it's radius.

By substitution;

1372π/3 = 4/3 πr³

Multiply both sides by 3

1372π = 4πr³

Divide through by 4

343π = πr³

Divide through by π

343 = r³

Take cube root of both sides.

r = 7.

Hence, the radius of the sphere is 7m

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EXPLANATION

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We were given that the axis of symmetry of the quadratic equation is
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Let the other zero of the quadratic equation be
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Since it is the x-values of the intercepts that gives the solution, we use only the x-value part of the midpoint formula which is given by,

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