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Question

# Assertion :Total surface area of the cylinder having radius of the base 14 cm and height 30 cm is 3872 cm2. Reason: If r be the radius and h be the height of the cylinder, then total surface area =(2πrh+2πr2)

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Assertion is incorrect but Reason is correct
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Solution

## The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for AssertionThe total curved surface area for a cylinder is 2(π)r(r+h)So, the Statement 2 is a standard result and is true.Now the assertion has the values, so lets try to put them in place and see if result comes out to be correct. Total Surface Area =2(π)r(r+h)=2×227×14×44=3872 cm2So, we can conclude that both statements are true and reason is the correct explanation to the assertion.Hence, option A is correct.

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