Volume of a Right Circular Cone
A. Volume of Conei. πr2hB. Volume of Sphereii. 43πr3C. Volume of Cylinderiii. (πr2h)3
- A - iii, B - ii, C - i
- A - ii, B - i, C - iii
- A - i, B - iii, C - ii
- A - iii, B - i, C - ii
The surface area of a solid metallic sphere is 2464 cm2. It is melted and recast into solid right circular cones of radius 3.5 cm and height 7 cm. Calculate the number of cones recast.
A conical tent is to accommodate 11 persons. Each person must have 4 square metres of the space on the ground and 20 m3 of air to breathe. Find the height of the cone.
The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to its base. If its volume is 127 of the volume of the given cone, at what height above the base is the section made?
- 10 cm
- 20 cm
- 40 cm
- 15 cm
A conical dome of a palace is supported by a cylindrical pillar, both having the same radius. If the ratio of the height of cylinder to cone is 4:3, the ratio of their volume is
If the rate of flow of water from a pipe is 2m3 s−1, then how much time will it take to fill a bucket whose volume is 1200m3?
A right angle triangle of base 4 cm and height 3 cm is rotated about its height. The curved surface area and volume of the solid obtained are _____ (in cm2) and _____ (in cm3) respectively.
- 18π & 14π
- 20π & 16π
- 16π & 18π
- 22π & 20π
Pavan built a conical flask using 550 m2 of aluminium sheet. If the radius of the flask is 7m, then how much water can he fill into the flask?
The volume of a cone whose height and radius is 6 cm and 5 cm respectively is: