SOLUTION: Find the capacity in liters of a bucket 24cm in diameter at the top 16cm in diameter at the bottom and 18 cm deep

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Question 1185427: Find the capacity in liters of a bucket 24cm in diameter at the top 16cm in diameter at the bottom and 18 cm deep
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

We compute first the volume:
V=%28pi%2Ah%2F3%29%2A%28R%5E2%2Br%5E2%2BrR%29, where h=18cm is the height, R=24%2F2=12cm+is the top radius, r=16%2F2=8cm is the bottom radius.
We get:
V=%28pi%2A18%2F3%29%2812%5E2%2B8%5E2%2B12%2A8%29
V=%2818pi%2F3%29%28144%2B64%2B96%29+
V=%2818pi%2F3%29%2A304
V=5730.265cm%5E3
the capacity in liters: convert cm%5E3 to liters
1cm%5E3+=+0.001liters
V=5730.265%2A0.001liters
V=5.73liters