SOLUTION: Greg’s company manufactures a cylindrical can with a diameter of 8 inches and a volume of 245 cubic inches.
a. Find the height of the original can to the nearest in.
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Question 1037465: Greg’s company manufactures a cylindrical can with a diameter of 8 inches and a volume of 245 cubic inches.
a. Find the height of the original can to the nearest in.
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b. If the diameter stays the same and the height is doubled, find the new volume of the new can to the nearest cubic inch.
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c. Explain what happened to the volume when the height doubled.
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Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Greg’s company manufactures a cylindrical can with a diameter of 8 inches and a volume of 245 cubic inches.
a. Find the height of the original can to the nearest in.
V = pi*r^2*h
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245 = pi*4^2*h
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height = 245/(16pi) = 4.87 inches
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b. If the diameter stays the same and the height is doubled, find the new volume of the new can to the nearest cubic inch.
V = pi*4^2*(2h)
V = [pi*16*2h]
V = 2[pi*16*h]
V = 2*245
V = 490 cu in
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Cheers,
Stan H.
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c. Explain what happened to the volume when the height doubled.
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