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EXERCISE 13.6, , 22 ., Assume % = 7° unless stated otherwise., , 1. The circumference of the base of a cylindrical vessel is 132.cm and its height is 25 cm., How many litres of water can it hold? (1000 cm’ = 1/), , 2. The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is, 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cm’ of wood has, amass of 0.6 g., , 3. A soft drink is available in two packs — (i) a tin can with a rectangular base of length, 5 cm and width 4 cm, having a height of 15 cm and (ii) a plastic cylinder with circular, base of diameter 7 cm and height 10cm. Which container has greater capacity and by, how much?, , 4, If the lateral surface of a cylinder is 94.2 cm? and its height is 5 cm, then find, (i) radius of its base (ii) its volume. (Use t= 3.14), , 2021-22, , SURFACE AREAS AND VOLUMES, , , , 5, It costs € 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If, the cost of painting is at the rate of ¥ 20 per m’, find, (i) inner curved surface area of the vessel,, Gi) radius of the base,, (iii) capacity of the vessel., , 6. The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. How many, square metres of metal sheet would be needed to make it?, , 7. Alead pencil consists of a cylinder of wood with a solid cylinder of graphite filled ir, the interior. The diameter of the pencil is 7 mm and the diameter of the graphiteis 1m: 23, If the length of the pencil is 14 cm, find the volume of the wood and that of th., graphite., , 8. A patientin a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the, bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare, daily to serve 250 patients?