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A raw material of 19404 cu.cm is used to manufacture a hemisphere. Then find the radius of hemisphere.

Question

A raw material of 19404 cu.cm is used to manufacture a hemisphere. Then find the radius of hemisphere.

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Solution

The volume of a hemisphere is given by the formula 2/3πr³.

Given that the volume of the raw material is 19404 cubic cm, we can set up the equation 2/3πr³ = 19404.

To solve for r (the radius), we first divide both sides of the equation by 2/3π. This gives us r³ = 19404 / (2/3π).

Next, we take the cube root of both sides of the equation to solve for r. This gives us r = ∛(19404 / (2/3π)).

Calculating the right side of the equation gives us the radius of the hemisphere.

This problem has been solved

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