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4 years ago

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?!

Mathematics

2 answers:

Leona [35]4 years ago

5 0

Answer:

Step-by-step explanation:

idk

Ivenika [448]4 years ago

4 0

Answer:

Step-by-step explanation:

VC = (1/3)·pi·r2·h

VC = volume of a cone

r = radius of base of cone = 6 cm

h = height

VC = (1/3)·pi·62·h

VC = 12·pi·h

VS = (4/3)·pi·r3

VS = volume of a sphere

r = radius of base of sphere = 3 cm

VS = (4/3)·pi·33

VS = 36·pi

Since the volume of the cone and the sphere are equal:

VC = VS

12·pi·h = 36·pi

Solve for h.

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Step-by-step explanation:

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Step-by-step explanation:

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