SOLUTION: A solid consists of a cone attached to a hemisphere. Calculate the volume of the solid if the diameter of the hemishere is 3cm and the overall height of the object is 7cm.

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Question 1149726: A solid consists of a cone attached to a hemisphere. Calculate the volume of the solid if the diameter of the hemishere is 3cm and the overall height of the object is 7cm.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A solid consists of a cone attached to a hemisphere.
Calculate the volume of the solid if the diameter of the hemisphere is 3cm and the overall height of the object is 7cm.
:
The radius of the cone & the height of the hemisphere: 3/2 = 1.5 cm
The height of the cone: 7 - 1.5 = 5.5 cm
:
Volume = volume of cone + volume of hemisphere:
V = (1%2F3*pi%2A1.5%5E2%2A5.5) + (1%2F2*4%2F3*pi%2A1.5%5E3)
V = (1%2F3*pi%2A1.5%5E2%2A5.5) + (2%2F3*pi%2A1.5%5E3)
V = 12.959 + 7.069
V = 20.28 cu/in