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14 June, 17:28

A sphere with a radius of 3 cm has the same volume as a cone with a radius of 6 cm. What is the height of the cone?

A) 2 cm

B) 3 cm

C) 4 cm

D) 5 cm

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Answers (1)
  1. 14 June, 21:16
    0
    3 cm

    Vsphere = 43 πr3 = 43 π (3) 3 = 36 π

    Vcone = 13 πr2 h

    36π = 13 π (6) 2h

    36π = 12 πh

    h = 3

    Thus, the height is 3 cm.
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