find the diameter of a cylinder whose height is 5 cm and numerical value of volume equal to numerical value of curved surface area.
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Answer:2r=4
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Given - Numerical value of volume equal to numerical value of curved surface area
Find - Diameter of cylinder
Solution - The formula of volume of cylinder = πr²h.
The formula of curved surface area of volume = 2πrh
As per the question, both the values are equal. So, equating them and on representing in mathematical form we get-
πr²h = 2πrh
Cancelling same constants.
r = 2
Hence, radius = 2 centimetres
Therefore diameter will be = 2r
Diameter of cylinder = 2*2
Diameter of cylinder = 4 centimetres.
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