Tuesday, 23 October 2012

CBSE Practice Test Paper Volume and Surface area

Practice problems for class Mathematics
1. How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold? 
2. The diameter of a metallic ball is 4.2 cm. What is the mass of the ball, if the density  of the metal is 8.9 g per cm3 ? 
3. The diameter of the Moon is approximately one fourth the diameter of the Earth. What fraction is the volume of the Moon of the volume of the Earth? 
4. A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1m, then find the volume of the iron used to make the tank. 
5. Find the volume of a sphere whose surface area is 154 cm2. 
6. A dome of a building is in the form of a hemisphere. From inside, it was white washed at the cost of Rs 498.96. If the rate of white wash is Rs 2.00 per square  meter, find   (i) inside surface area of the dome, (ii) the volume of the air inside the dome. 
7. A hemispherical bowl of steel is of thickness 0.3 cm . If the inner radius of the bowl is 7 cm, find the volume of the steel used in making the bowl. 
8. The volume of a conical tent is 1232 m3 and the area of its base is 154 m2.Find the length of the canvas required to build the tent, if the canvas is 2 m in width.
9. A cylindrical bucket, 14 cm in radius, is filled with water to some height. If a  rectangular solid of size 28 cm ×11 cm × 10 cm is immersed in the water, find theheight by which water rises in the bucket. 
10. A 11 cm × 4 cm rectangular piece of paper is folded and taped without overlapping to make a cylinder of height 4 cm. Find the volume of the cylinder so formed.
11. A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kilolitres? 
12. The volume of a right circular cone is 9856 cm3. If the diameter of the base is 28 cm, find (i) height of the cone,(ii) slant height of the cone,(iii) curved surface area of     the cone.  
13. A conical tent is 9 m high with base diameter 24 m. Find the number of persons it  can accommodate if each person requires
(i) 2 m2 space on the ground,
(ii) 15 m3space to breathe,
(iii) 2 m2 space on the round and 15 m3 space to breathe. 
14. A right triangle ABC with its sides 5 cm, 12 cm and13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained  
15.If the triangle ABC with its sides 5 cm, 12 cm and13 cm is revolved about the side 5 cm, then find the   volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtaine

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