Mensurationhard · Past Paper
A sphere and a cube have the same surface area. What is the ratio of the radius of the sphere to the side of the cube?
Asqrt(3/2π)
Bsqrt(6/4π)
Csqrt(π/6)
Dsqrt(6/π)
✓ Correct Answer: B — sqrt(6/4π)
4πr² = 6l² => (r/l)² = 6 / 4π => r/l = sqrt(6/4π).
Share this question
More from Mensuration
- If the area of a circle is doubled, its radius increases by a factor of:
- The base of a prism is a right-angled triangle with sides 3 cm, 4 cm, and 5 cm. If the height of the prism is 10 cm, find its volume.
- The volume of a hemisphere is 486π cm^3. Find its radius.
- If the perimeter of a semi-circle is 36 cm, what is its area?
- The perimeter of the base of a prism is 20 cm and its height is 15 cm. What is its lateral surface area?