Mensurationhard · Past Paper
A sphere and a cylinder have the same radius 'r'. If their volumes are equal, find the height of the cylinder in terms of 'r'.
A4/3 r
B2/3 r
C2r
Dr
✓ Correct Answer: A — 4/3 r
πr^2h = (4/3)πr^3 → h = 4/3 r.
Share this question
More from Mensuration
- What is the total surface area of a cylinder if its base area is 154 sq. cm and its curved surface area is 200 sq. cm?
- If the radius of a sphere is doubled, its surface area becomes how many times the original?
- A cuboid has dimensions 5 cm, 4 cm, and 3 cm. Find its total surface area.
- Calculate the total surface area of a right prism of height 10 cm and base a right triangle with legs 6 cm and 8 cm.
- If the side of a cube increases by 10%, find the percentage increase in its surface area.