Q1. Two right circular cylinders of equal volume have their heights in the ratio 1 : 2. The ratio of their radii is :
(a)
(b) 2 : 1
(c) 1 : 2
(d) 1 : 4
Q2. A hollow iron pipe is 21 cm long and its exterior diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs , then the weight of the pipe is
(a) 3.696 kg
(b) 3.6 kg
(c) 36 kg
(d) 36.9 kg
Q3. Two iron sheets spherical in shape each of diameters 6 cm are immersed in the water contained in a cylindrical vessel of radius 6 cm. the level of the water in the vessel will be raised by
(a) 1 cm
(b) 2 cm
(c) 3 cm
(d) 6 cm
Q4. The radii of the base of two cylinders A and B are in the ratio 3 : 2 and their height in the ratio n : 1. If the volume of cylinder A is 3 times that of cylinder B, the value of n is
Q5. Water is being pumped out through a circular pipe whose internal diameter is 7 cm. If the flow of water is 12 cm per second. How many litres of water is being pumped out in one hour ?
(a) 1663.2
(b) 1500
(c) 1747.6
(d) 2000
Q6. The lateral surface area of a cylinder is 1056 and its height is 16 cm. Find its volume.
(a) 4545 cm3
(b) 4455 cm3
(c) 5445 cm3
(d) 5544 cm3
Q7. From a solid cylinder whose height is 12 cm and diameter 10 cm, a conical cavity of same height and same diameter of the base is hollowed out. The volume of the remaining solid is approximately
Q8. The curved surface area and the total surface area of a cylinder are in the ratio 1 : 2.If the total surface area of the right cylinder is 616, then its volume is :
Q9. If diagonal of a cube is cm, then its volume in cubic cm is :
(a) 8
(b) 12
(c) 24
(d)
Q10. If the volume of two cubes are in the ratio 27 : 1, the ratio of their edge is :
(a) 3 : 1
(b) 27 : 1
(c) 1 : 3
(d) 1 : 27
Solutions:
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