SOLUTION: What is the approximate volume of the cone? Use 3.14 8cm by 12 cm

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Question 450167: What is the approximate volume of the cone? Use 3.14
8cm by 12 cm
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming the diameter is 8 cm and the height is 12 cm. So if the diameter is 8 cm, then the radius is 4 cm.


V=%281%2F3%29%2Api%2Ar%5E2%2Ah Start with the volume of a cone formula.


V=%281%2F3%29%2Api%2A%284%29%5E2%2A%2812%29 Plug in r=4 and h=12


V=%281%2F3%29%2A%283.14%29%2A%284%29%5E2%2A%2812%29 Replace pi with 3.14 (note: Use more digits of pi to get better accuracy).


V=%281%2F3%29%2A%283.14%29%2A%2816%29%2A%2812%29 Square 4 to get 16


V=%281%2F3%29%2A%2850.24%29%2A%2812%29 Multiply 3.14 and 16 to get 50.24 (this figure is approximate).


V=%281%2F3%29%2A%28602.88%29 Multiply 50.24 and 12 to get 602.88 (again, this is approximate).


V=200.96 Multiply 1%2F3 and 602.88 to get 200.96


So the volume of the cone with radius 4 and height 12 is approximately 200.96 cubic centimeters.