Question

Assertion :Total surface area of the cylinder having radius of the base $14$ cm and height $30$ cm is $3872$ $c{m}^2$. Reason: If $r$ be the radius and h be the height of the cylinder, then total surface area $=(2\pi rh+2\pi r^2)$

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

Answer 1

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 $2\left(\pi \right)r(r+h)$
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 $=2\left(\pi \right)r(r+h)=2\times \frac{22}{7}\times 14\times 44=3872$ cm${}^2$
So, we can conclude that both statements are true and reason is the correct explanation to the assertion.
Hence, option A is correct.