SOLUTION: A soup can is in the shape of a cylinder. The can has a volume of 342 cm^3 and a diameter of 6cm.
(A)Express the height of the can in terms of pi. [Show all work]
(B)Determ
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Question 704711: A soup can is in the shape of a cylinder. The can has a volume of 342 cm^3 and a diameter of 6cm.
(A)Express the height of the can in terms of pi. [Show all work]
(B)Determine the maximum number of soup cans that can be stacked on their base between two shelves if the distance between the shelves is exactly 36 cm. [Explain your answer]
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A soup can is in the shape of a cylinder. The can has a volume of 342 cm^3 and a diameter of 6cm.
(A)Express the height of the can in terms of pi. [Show all work]
volume=h*area of base
height=volume/area of base
=342/(πd^2/4)
=342/(π6^2/4)
=342/9π
height=38/π cm
(B)Determine the maximum number of soup cans that can be stacked on their base between two shelves if the distance between the shelves is exactly 36 cm. [Explain your answer]
height=38/π cm
3*height=3*38/π=36.287.. cm
Therefore, maximum number of soup cans that can be stacked on their base=2
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