Mensurationmedium · Past Paper
A right circular cylinder and a cone have equal bases and equal heights. Find the ratio of their curved surface areas if their height is √3 times the radius.
A√3 : 1
B2 : 1
C√3 : 2
D1 : √3
✓ Correct Answer: C — √3 : 2
Height h=r√3. Slant height l = √(r² + 3r²) = 2r. Cylinder CSA = 2πr(r√3) = 2√3πr². Cone CSA = πr(2r) = 2πr². Ratio = √3:1.
Share this question
More from Mensuration
- Find the volume of a cone with height 24 cm and slant height 25 cm.
- If the total surface area of a sphere is equal to the curved surface area of a cylinder with same radius, what is the height of the cylinder in terms of its radius?
- If the volume of a sphere is numerically equal to its surface area, find its diameter.
- A conical tent is 9 m high and the radius of its base is 12 m. What is the cost of rice required to fill the tent if 1 m³ rice costs Rs 100?
- The area of the base of a cylinder is 154 sq. cm and height is 5 cm. Find the volume.