11. A semi-circular sheet of metal of diameter 28 cm is bent into an open conical cup. The depth of the cup is approximately
12. A hemispherical tank full of water is emptied by a pipe at the rate of 7.7 litres per second. How much time (in hours) will it take to empty $$\frac{2}{3}$$ part of the tank, if the internal radius of the tank is 10.5 m?
13. The base of a cone and a cylinder have the same radius 6 cm. They have also the same height 8 cm. The ratio of the curved surface of the cylinder to that of the cone is
14. The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3 $$\left( {{\text{Taking }}\pi = \frac{{22}}{7}} \right).$$ Find the ratio of its diameter to its height
15. A solid has 12 vertices and 30 edges. How many faces does it have?
16. The diameter of a 120 cm long roller is 84 cm. It takes 500 complete revolutions of the roller to level a ground. The cost of levelling the ground at Rs. 1.50 sq. m. is:
17. A cuboidal shaped water tank, 2.1 m long and 1.5 m broad is half filled with water. If 630 litres more water is poured into tank, the water level will rise
18. The radii of two circular faces of the frustum of a cone of height 10.5 cm are 5 cm and 3 cm respectively. What is its volume in cm3 $$\left( {\pi = \frac{{22}}{7}} \right)?$$
19. The radius of a cylinder is increased by 120% and its height is decreased by 40%. What is the percentage increase in its volume?
20. The radius of two circular cylinders are in the ratio 3 : 2 and the ratio of their volumes is 27 : 16. What is the ratio of their heights?
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