1. The radius and height of a right circular cone are in the ratio 3 : 4. If its curved surface area (in cm2) is 240π. Then its volume (in cm3) is:
2. A cylindrical pencil of diameter 1.2 cm has one of its end sharpened into a conical shape of height 1.4 cm. The volume of the material removed is
3. A sphere and a hemisphere have the same volume. The ratio of their curved surface area is:
4. A tank 40 m long, 30 m broad and 12 m deep is dug in a field 1000 m long and 30 m wide. By how much will the level of the field rise if the earth dug out of the tank is evenly spread over the field?
5. A tank is in the form of a cuboid with length 12 m. If 18 kilolitre of water is removed from it, the water level goes down by 30 cm. What is the width (in m) of the tank?
6. A solid brass sphere of radius 2.1 dm is converted into a right circular cylindrical rod of length 7 cm. The ratio of total surface areas of the rod to the sphere is
7. A solid cylinder has radius of base 14 cm and height 15 cm. 4 identical cylinders are cut from each base as shown in the given figure. Height of small cylinder is 5 cm. What is the total surface area (in cm2) of the remaining part?
8. A cylindrical vessel whose base is horizontal and is of internal radius 3.5 cm contains sufficient water so that when a solid sphere is placed inside, water just covers the sphere. The sphere fits in the Cylinder exactly. The depth of water in the vessel before the sphere was put, is
9. A hemispherical depression of diameter 4 cm is cut out from each face of a cubical block of sides 10 cm. Find the surface area of the remaining solid (in cm2). $$\left( {{\text{Use }}\pi = \frac{{22}}{7}} \right)$$
10. The lateral surface area of frustum of a right circular cone if the area of its base is 16π cm2 and the diameter of circular upper surface is 4 cm and slant height 6 cm, will be
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