Problems on Surface Area and Volumes (CBSE-9)

Benjamin Academia 1 CBSE 9 Mathematics Assessment ( Surface Area and Volumes) Time : 1 hr MM – 30 All questions are compulsory. Question number, its part or subdivision must be indicated in the margin against solutions. All working will be considered for marking therefore it must be shown along with the solution. Q1. The floor of a rectangular room has perimeter 200 m. The cost of painting its walls at the rate of Rs.50 per square metre is Rs.25000. Calculate the height of the room. [ 3 ] Q2. Curved surface area of a cylinder is 22 2 m and its base radius is 1.4 m. Find its height. [ 3 ] Q3. The vertical height and the base radius of a conical tomb are respectively 24 m and 7 m. Calculate cost of painting its curved surface area at Rs.60 per 2 m . [ 3 ] Q4. A hemispherical bowl is made of copper, 0.2 cm thick. The outer radius of the bowl is 3.7 cm. Find the inner surface area of the bowl. [3 ] Q5. Water in a 6m wide canal is 4 m deep and is flowing into a reservoir (dam) at the rate of 2 km/h. Calculate volume of Benjamin Academia 2 water in liters that will flow into the reservoir (dam) in 30 minutes. ( 1 3 1000 m l = ). [ 3 ] Q6, Cylindrical glasses with diameter 7.0 cm are used to offer fruit juice to invitees in a party. If each glass is filled with juice to a height of 8.0 cm, how many liters of juice is required for 200 invitees ? ( 3 1 1 ,1000 1 cm ml ml l = = ). [3] Q7. Cones of height 12 cm and radius of the circular top 3.5 cm are used to supply ice cream. If the ice cream is filled to the brim, how many such cones are required to supply 15.4 liters of ice cream to the guests in a party ? ( 3 1 1 ,1000 1 cm ml ml l = = ) [ 3 ] Q8. A vendor sells scoops of ice cream each 4.2cm. in diameter. What is the volume of the ice cream, in 3 cm , in each scoop ? [ 3 ] Q9. A spherical glass aquarium of diameter 42 cm is to be filled with water using a cylindrical mug of base radius 7cm and height 14cm. How many mugs of water are required to fill it completely ? [ 3 ] Q10. A brick wall 5.0 m long, 3.0 m high and 0.4 m thick is to be raised using bricks of dimensions 25 cm by 10 cm by 8 cm. How many bricks are required ? [ 3 ] Benjamin Academia 3