SOLUTION: A restaurant kitchen stores large cans of peas. Each can has a volume of 2880piecmcubed and a height of 20 cm. A cook is trying to figure out how many cans of peas he can fit sid

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Question 1032558: A restaurant kitchen stores large cans of peas. Each can has a volume of 2880piecmcubed and a height of 20 cm.
A cook is trying to figure out how many cans of peas he can fit side by side on the shelf. What is the diameter of the can of peas.

Found 2 solutions by fractalier, ikleyn:
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a cylinder is found by
V+=+pi%2Ar%5E2%2Ah
Thus if we find the radius, we can double that to find the diameter...so...
2880%2Api+=+pi%2Ar%5E2%2A20
2880+=+20%2Ar%5E2
r%5E2+=+144
and
r = 12 cm
which means the diameter is
d = 2r = 24 cm
(That's a big can of peas...)

Answer by ikleyn(52864) About Me  (Show Source):
You can put this solution on YOUR website!
.
A restaurant kitchen stores large cans of peas. Each can has a volume of 2880piecmcubed and a height of 20 cm.
A cook is trying to figure out how many cans of peas he can fit side by side on the shelf. What is the diameter of the can of peas.
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The volume of a cylinder is found by
V+=+pi%2Ar%5E2%2Ah
Thus if we find the radius, we can double that to find the diameter...so...
2880%2Api = pi%2Ar%5E2%2A20
2880 = 20%2Ar%5E2
r%5E2+=+144
and
r = 12 cm
which means the diameter is
d = 2r = 24 cm