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?

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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) About Me  (Show Source):
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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
sqrt%288%5E2+%2B+h%5E2%29 = 17
64 + h^2 = 17^2
h^2 = 289 - 64
h^2 = 225
h = sqrt%28225%29
h = 15 cm is the height
:
Find the vol of the cone
V = 1%2F3pi%2A8%5E2%2A15
V = pi%2A64%2A5
V = 1005.31 cu/cm
:
Find the volume of the hemisphere
V = 1%2F2*4%2F3pi%2A8%5E3
V = 4%2F6*pi%2A512
V = 1072.33 cu/cm
:
Total volume of the shape
1005.31 + 1072.33 = 2077.64 Cu/cm