CBSE Class 9 Mathematics Surface areas and Volumes Assignment Set D

Section - A

Q.1  A cuboidal oil tin is 30cm X 40cm X 50cm. Find the cost of the tin required for making 20 such tins if the cost of tin sheet is Rs. 20/m².

Q.2  Find the lateral curved surface area of a cylindrical petrol storage tank that is 4.2m in diameter and 4.5m high. How much steel was actually used, if 1/12 of steel actually used was wasted in making the closed tank.

Q.3  The radius and height of a cone are in the ratio 4 : 3. The area of the base is 154cm². Find the area of the curved surface.

Q.4  A sphere, cylinder and cone are of the same radius and same height. Find the ratio of their curved surfaces.

Q.5  A hemispherical bowl of internal diameter 36cm contains a liquid. This liquid is to be filled in cylindrical bottles of radius 3cm and height 6cm. How many bottles are required to empty the bowl?

Q.6  A hemisphere of lead of radius 8cm is cast into a right circular cone of base radius 6cm. Determine the height of the cone.

Section - B

Q.7 A wooden toy is in the form of a cone surmounted on a hemisphere. The diameter of the base of the cone is 6cm and its height is 4cm. Find the cost of painting the toy at the rate of Rs. 5 per 1000cm².

Q.8  Find the volume of the largest right circular cone that can be fitted in a cube whose edge is 14cm.

Click on link below to download CBSE Class 9 Mathematics Surface areas and Volumes Assignment Set D