Problems on Volume of Cuboid, Cone and Cylinders

Volume of a cuboid is ?

Find the ratio of the volume of a cone and a cylinder of same radii and same heights.

A conical hole is drilled in a circular cylinder of height 12 cm and base radius 5 cm. The height and the base radius of the cone are also the same. Find the whole surface and volume of the remaining cylinder.

Draw rough sketches of the net of each of the following shapes: a. Cube b. Cuboid c. Cylinder d. Cone

Define the following solids: a. Sphere b. Cone c. Cylinder d. Cube e. Cuboid f. Triangular prism g. Triangular pyramid

The radius and height of a cylinder are equal. If the radius of the sphere is equal to the height of the cylinder, then the ratio of the rates of increase of the volume of the sphere and the volume of the cylinder, is

If the height and radii of the cylinder halved then the volume of the cylinder becomes ____

A gas pipe is an example of (a) a cone (b) a cylinder (c) cube (d) sphere

A solid cylinder is melted and cast into a cone of same radius. The heights of the cone and cylinder are in the ratio (a) 9:1 (b) 1:9 (c) 3:1 (d) 1:3

Give one new example of an object from your surroundings that resembles the following shapes. a. Sphere b. Cuboid c. Cylinder