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Question 7

If the height of a cylinder becomes 14 of the original height and the radius is doubled, then which of the following will be true ?
(a) Total surface area of the cylinder will be doubled
(b) Total surface area of the cylinder will remain unchanged
(c) Total surface area of the cylinder will be halved
(d) None of the above


Solution

We know that,
Total surface area of cylinder having radius r and height h=2πr(h+r)
Total surface area of the cylinder with new height (h4) and radius 2r
=2π(2r)(2r+14h)
=4πr(8r+h)×14
=πr(8r+h)

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