A sphere and a cone have the same volume and each has a radius of 6 centimeters what is the height of the cone

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Mathematics

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13 April, 11:51

A sphere and a cone have the same volume and each has a radius of 6 centimeters what is the height of the cone

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Ashton Humphrey · Answer 1

V (sphere) = (4/3) πr³

V (cone) = (1/3) πr²h

V (sphere) = V (cone)

(4/3) πr³ = (1/3) πr²h

3 * (4/3) πr³ = 3 * (1/3) πr²h

4r³ = r²h

4r = h

h=4r = 4*6 = 24 cm