SOLUTION: a sphere has radius 7/2cm. a cone has radius 4cm and height 7cm. which one has the bigger volume

Algebra ->  Volume -> SOLUTION: a sphere has radius 7/2cm. a cone has radius 4cm and height 7cm. which one has the bigger volume      Log On


   

Question 1191195: a sphere has radius 7/2cm. a cone has radius 4cm and height 7cm. which one has the bigger volume
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52877) About Me  (Show Source):
You can put this solution on YOUR website!
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Calculate each volume; then compare.

Making calculations is the students' honor duty and a privilege.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

if a sphere has radius %287%2F2%29cm, volume is
V=%284%2F3%29pi%2Ar%5E3
V=%284%2F3%29pi%2A%287%2F2%29%5E3
V=%284%2F3%29pi%2A%28343%2F8%29
V=%28343%2F6%29pi-> ≈179.59cm%5E3


if a cone has radius 4cm and height 7cm
V=r%5E2%2Api%2Ah%2F3
V=4%5E2%2Api%2A7%2F3
V=%28112%2F3%29pi->≈117.29cm%5E3

answer: a sphere has the bigger volume