MENSURATION

The base area of a cuboid equals 50 sq m. Find its volume if the height is equal to 5cm.

A platform in the shape of a cuboid of length 10 m and width 5 m was constructed. If 200 cubic m of concrete was used to construct the platform, what is the height of the platform?

An empty cubic tank of length 6m is being filled with water using a pipe. If the water from the pipe flows at the rate of 3 cubic metres per minute, how long will it take to fill the tank?

Find the lateral surface area of a cube of side length 2.5cm.

An arc subtends an angle of 60 degrees at the centre of the circle having radius 21 cm. Find the length of the arc.

The difference between the area of a circle and the area of a sector that subtends 60 degrees at the centre is 30pi sq cm. Find the radius of the circle.

The ratio of the radii of two cylinders is 1:3. Find the ratio of their volumes if they have same height.

A rectangular sheet of paper is rolled along its length to form a cylinder. Find its volume if the dimensions of the sheet are 20 m and 31.4m .

The radius and the slant height of a cone are in the ratio 3:5. If the cone’s height is 16 cm. Find the volume of the cone. 

A cone of height 24 cm and radius 10 cm is cut horizontally into two parts of equal height. If the radius of the smaller cone is 5 cm, find the volume of the lower part.