Mensurationhard · Past Paper
A solid cylinder has a total surface area of 462 cm². Its curved surface area is one-third of its total surface area. Find its volume.
A539 cm³
B308 cm³
C1078 cm³
D462 cm³
✓ Correct Answer: A — 539 cm³
CSA = 1/3 * 462 = 154. TSA = CSA + 2πr² = 462. 154 + 2πr² = 462 => 2πr² = 308 => r = 7. 2π(7)h = 154 => h = 3.5. Vol = π(7²)(3.5) = 539 cm³.
Share this question
More from Mensuration
- A rectangular tank 5 m long, 4 m wide, and 3 m deep is half full of water. What is the volume of water?
- Find the area of a regular hexagon with side 6 cm.
- The lateral surface area of a right circular cylinder is 176 sq. cm and its base radius is 4 cm. Find its height.
- The area of a sector of a circle with radius 6 cm and central angle 60 degrees is:
- 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'.