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Question
Choose the correct alternative answer for the following question.
The curved surface area of a cylinder is 440 cm 2 and its radius is 5 cm. Find its height.
Options
`44/pi` cm
22 \[\pi\] CM
44 \[\pi\] CM
\[\frac{22}{\pi}\] cm
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Solution
`44/pi` cm
Explanation:
The radius of the cylinder, r = 5 cm
Let the height of the cylinder be h cm.
Curved surface area of the cylinder = 440 cm2
`therefore 2pi"h" = 440`
`=> "h" = 440/(2pi"r")`
`=> "h" = 440/(2pi xx 5) = 44/pi` cm
Thus, the height of the cylinder is `44/Pi` cm.
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