SOLUTION: An ice cream cone is made of an inverted cone with diameter 16 cm and slant height 17 cm, topped with a hemisphere. What is the volume of the shape?

Question 1131645: An ice cream cone is made of an inverted cone with diameter 16 cm and slant height 17 cm, topped with a hemisphere. What is the volume of the shape?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
An ice cream cone is made of an inverted cone with diameter 16 cm and slant height 17 cm, topped with a hemisphere.
What is the volume of the shape?
:
Find the height of the cone, r=8, half the diameter
= 17
64 + h^2 = 17^2
h^2 = 289 - 64
h^2 = 225
h =
h = 15 cm is the height
:
Find the vol of the cone
V =

V =
V = 1005.31 cu/cm
:
Find the volume of the hemisphere
V = *

V = *
V = 1072.33 cu/cm
:
Total volume of the shape
1005.31 + 1072.33 = 2077.64 Cu/cm
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