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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)

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Solution

The correct option is **A** Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

The 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 cm2

So, we can conclude that both statements are true and reason is the correct explanation to the assertion.

Hence, option A is correct.

The 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 cm2

So, 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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