Mensurationhard · Past Paper
What happens to the volume of a cylinder if its radius is halved and its height is doubled?
AVolume remains same
BVolume is halved
CVolume is doubled
DVolume is quadrupled
✓ Correct Answer: B — Volume is halved
V' = π(r/2)^2 * (2h) = π(r^2/4) * 2h = (1/2)πr^2h. So it is halved.
Share this question
More from Mensuration
- A cuboid has its length, breadth and height in the ratio 3:2:1 and its total surface area is 88 cm². Find its length.
- What is the total surface area of a frustum of a cone with radii 4 cm and 2 cm and height 4 cm?
- Water flows out of a pipe of cross-section 4 cm² at a speed of 10 cm/s. How many liters of water will flow out in 1 minute?
- The lateral surface area of a right circular cylinder is 176 sq. cm and its base radius is 4 cm. Find its height.
- The volume of a right circular cone is 100π cm^3. If its height is 12 cm, find its slant height.