allisonarrington allisonarrington
  • 03-03-2020
  • Mathematics
contestada

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?!
2 cm
3 cm
4 cm
5 cm

Respuesta :

emilynirene11 emilynirene11
  • 03-03-2020

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.

Answer Link
queenofthelastunicor
queenofthelastunicor queenofthelastunicor
  • 20-03-2020

Answer:

B

Step-by-step explanation:

idk

Answer Link

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