MP Board · Class 9 · Mathematics · Surface Areas and VolumesThe curved surface area of a right circular cylinder of height 14 cm is $88 \text{ cm}^2$. The diameter of the base of the cylinder is:
The formula for the curved surface area of a cylinder is $2 \pi r h$. Given that $h = 14 \text{ cm}$ and curved surface area $= 88 \text{ cm}^2$. So, $2 \times \frac{22}{7} \times r \times 14 = 88$. Solving for $r$, we get $4 \times 22 \times r = 88$, which means $88r = 88$, so $r = 1 \text{ cm}$. The diameter is $2 \times r = 2 \times 1 = 2 \text{ cm}$. Therefore, the correct option is 2 cm.
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Surface Areas and Volumes.
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Surface Areas and Volumes.
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Surface Areas and Volumes.