SOLUTION: find the capacity in liters of a bucket24cm in diameter at the top, 16 cm at the bottom and 20 cm deep

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Question 1188901: find the capacity in liters of a bucket24cm in diameter at the top, 16 cm at the bottom and 20 cm deep
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

We compute first the volume:
V=pi%2Ah%2F3%2A%28R%5E2%2Br%5E2%2BrR%29, where h=20cm is the height, R=24%2F2=12cm+is the top radius, r=16%2F2=8cm+is the bottom radius.
We get:
V=pi%2A%2820%2F3%29%2812%5E2%2B8%5E2%2B12%2A8%29+
V=%2820pi%2F3%29%28144%2B64%2B96%29cm%5E3
V=%2820pi%2F3%29304cm%5E3
V=6363.73cm%5E3
In dm%5E3+we have (divide by 1000) :
V=6.36dm%5E3
By definition, 1dm%5E3=1liter , so the capacity is 6.36 liters.