A right triangle with sides 3 cm, 4 cm, and 5 cm is rotated about the side of 3 cm to form a cone. The volume of the cone so formed is:
- (a) 12” cm³
- (b) 15” cm³
- (c) 16” cm³
- (d) 20”` cm³
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In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
- (a) 75 cu. m
- (b) 750 cu. m
- (c) 7500 cu. m
- (d) 75000 cu. m
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A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
- (a) 720
- (b) 900
- (c) 1200
- (d) 1800
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66 cubic centimeters of silver is drawn into a wire 1 mm in diameter. The length of the wire in meters will be:
- (a) 84
- (b) 90
- (c) 168
- (d) 336
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A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm³, then the weight of the pipe is:
- (a) 3.6 kg
- (b) 3.696 kg
- (c) 36.9 kg
- (d) 36 kg
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A boat having a length of 3 m and a breadth of 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
- (a) 12 kg
- (b) 6-kg
- (c) 72 kg
- (d) 96 kg
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50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m³, then the rise in the water level in the tank will be:
- (a) 20 cm
- (b) 25 cm
- (c) 35 cm
- (d) 50 cm
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The slant height of a right circular cone is 10 surface
- (a) 30π m²
- (b) 40 m²
- (c) 60 m²
- (d) 80 m²
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A cistern 6 m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
- (a) 49 m²
- (b) 50 m²
- (c) 53.5 m²
- (d) 55 m²
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A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m³) is:
- (a) 4830
- (b) 5120
- (c) 6420
- (d) 8960
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