Question

If in a cylinder, the radius is doubled and the height is halved, then what would happen to the curved surface area?

• A. It will become half of the original curved surface area.
• B. It will become four times the original curved surface area.
• C. It will remain the same.
• D. It will become double the original curved surface area.

Answer 1

The correct option is C It will remain the same.

$r_2=2r_1,h_2=\frac{h_1}{2}$
Curved surface of the cylinder $=2\pi \left(2r_1\right)\left(\frac{h_1}{2}\right)=2\pi r_1{h}_1$