Surface Area And Volume
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Surface Area And Volume
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25 Questions

1. If a right circular cone is separated into solids of volumes V1, V2 and V3 by two planes parallel to the base, which also trisect the altitude then V1:V2:V3 is,
2. A bar made up of copper is 9m long, 40 cm wide and 20 cm in thickness. If 1 cubic meter of iron weighs 50 kg. What is the weight of the bar?
3. The volume of a sphere is 4851 cm3. Its curved surface area is:
4. An open rectangular water tank having 4m length and 3m breadth has capacity of 24 cubic metre. Its expense of painting the internal and external surfaces at Rs 10 per cubic metre is:
5. A cone and a hemisphere have equal bases and equal volumes. Find the ratio of height cone and radius of hemisphere.
6. A bakery makes cake in shape of a sector of a circle of radius 10 cm with angle 24∘ at centre and constant thickness 3 cm. Find the volume of raw materials used in making it considering there is no wastage of materials whilke making it.
7. The height of a cone is 30cm. A small plane parallel to its base cuts a small cone at the top of it.If it’s volume is 1/27th of the volume of the cone, what is the height of the smaller cone?
8. The largest sphere that can be carved out of a cube of side 7cm has a volume (in cubic cm),
9. The height of a right prism with a square base is 15cm. If the total surface area of the prism is AD 608 sq cm its volume (in cubic cm.) is,
10. A water tank has length of 15m and breadth of 6m. Then amount of water required to raise the water level by 1 m is:
11. If a metallic cone of base radius 30cm and height 45cm is melted and recast into metallic spheres of radius 5cm find the maximum number of spheres that can be made,
12. The measurement of the base of a tube shaped drum is 35dm and its height is 24 dm. It is full of milk. How many of packs each of size 25cm ×22cm× 35 cm can be packed from the drum?
13. A triangle with side lengths 3 cm, 4 cm and 5 cm is rotated about the side 3 cm to form a cone. The volume of the cone formed by it is:
14. An area of a square km of land had a rainfall of 2cm. If 50% of these rainwater were collected in a pond having length 50m and breadth 20m base, what would be increase in water level in the pond?
15. A cone and sphere have the same radius of 12 cm. Find the height of the cone if they have equal volume.
16. A pit 6m long, 3m wide and 2.5 m are delved in a corner of a field that is of rectangular field of length 20m and Width 14m. and the earth taken out of the pit is spread uniformly on the remaining part of the field. The level of field will rise by:
17. Water is flowing through a pipe of cross sectional radius of 10 cm at the rate of 3 km per hour into a 9 cylinder of radius 5 m and height 2 m. In what time will the cylinder be filled?
18. A wooden box measures 20cm by 12cm by 10cm. If thickness of it’s wall is 1cm. Volume of the wood required to make the box (in cubic cm) is,
19. A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy.
20. A solid cone of height 9cm and diameter of its base 18cm is cut out from a wooden solid sphere of radius 9cm. The percentage of wood wasted is:
21. If the length of each side of a regular tetrahedron is 12cm, then it’s volume will be:
22. Thebase of a right prism is a quadrilateral ABCD. If AB=9 cm, BC=14 cm, CD=13 cm, DA=12 cm and ∠DAB=900 and the volume of the prism be 2070 cubic mtr. then the area of the lateral surface of the prism is,
23. What part of a rectangular shape pond 8 m long, 16.5 m broad and 4 m deep can be filled from the water of a cylindrical tank of diameter 4 m and length 56 m.?
24. A spherical ball of copper of volume 0.88 m3 is melted and reformed into small rods of length 7m and cross sectional radius of 1cm. What will be the number of such rods?
25. The total surface range of a cubical box is 600 cm2. The length of longest rod that can be placed in it:

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