Mensurationhard · Past Paper
The ratio of the volumes of two cones is 1:4 and their diameters are in the ratio 4:5. Find the ratio of their heights.
A25:64
B16:25
C5:4
D25:16
✓ Correct Answer: A — 25:64
V1/V2 = (r1/r2)² * (h1/h2) => 1/4 = (4/5)² * (h1/h2) => 1/4 = 16/25 * (h1/h2) => h1/h2 = 25/64.
Share this question
More from Mensuration
- A right circular cone has a slant height of 5 cm and height of 4 cm. Its volume is:
- Four equal circles are described about the four corners of a square of side 14 cm so that each touches two of the others. Find the area of the remaining part of the square.
- Find the volume of a sphere whose surface area is 154 cm^2.
- A square and an equilateral triangle have the same perimeter. What is the ratio of their areas?
- Find the volume of the material of a hollow sphere whose outer and inner radii are 10 cm and 8 cm respectively.