a cone and a sphere have the same volume. the height of the cone is 96 units. what would be the values for the radius of the cone and the sphere?

Question

Mathematics

Cohen Bowers

25 July, 09:09

a cone and a sphere have the same volume. the height of the cone is 96 units. what would be the values for the radius of the cone and the sphere?

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Answers (1)

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Sariah Flynn · Answer 1

The radius = 24 units.

Step-by-step explanation:

I am assuming that the 2 radii are equal then:

1/3 pi r^2 * 96 = 4/3 pi r^3

then:

4/3 pi r^3 / 32 pi r^2 = 1

4/3r^3 / 32 r^2 = 1

4/3 r * 1 / 32 = 1

r = 32 * 3/4

= 24.