Question

The radius of cylinder is 7 cm and height is 11 cm. The total surface area of cylinder will be:

• A. 748 cm\(^2\)
• B. 792 cm\(^2\)
• C. 846 cm\(^2\)
• D. 892 cm\(^2\)

Hint:

Use \(2\pi r(r+h)\) with \(\pi = 22/7\).

Answer 1

The Correct Option is B

Step 1: Understanding the Question:
We need the total surface area of a closed cylinder. That means the curved side plus the two circular ends.

Step 2: Key Formula or Approach:
\[ \text{TSA} = 2\pi r h + 2\pi r^2 = 2\pi r (r + h) \]
We take \(\pi = \dfrac{22}{7}\) because the radius is 7.

Step 3: Detailed Explanation:
Here \(r = 7\) cm and \(h = 11\) cm.
\[ \text{TSA} = 2 \times \frac{22}{7} \times 7 \times (7 + 11) \]
\[ = 44 \times 18 = 792 \text{ cm}^2 \]

Step 4: Check the other options:
748 is \(44 \times 17\), which comes from using \(r + h = 17\) by mistake. 846 and 892 do not divide evenly by 44. Only 792 matches \(44 \times 18\).

Final Answer:
The total surface area is 792 cm\(^2\). \[ \boxed{792 \text{ cm}^2} \]