Important Questions of Surface Areas and Volumes Mathematics | Zigya

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41. A cylindrical vessel, without lid, has to be tin-coated including both of its sides. If the radius of its base is 1/2 m and its height is 1.4 m, calculate the cost of tin-coating at the rate of र 50 per 100 cm2. (Use straight pi = 3.14)
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42. 10 cylindrical pillars of a building have to be painted. If the diameter of each pillar is 50 cm and the height 4 m, what will be the cost of painting at the rate of र 14 per square metre?
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43. A cylinder 3 m high, is open at the top. The circumference of its base is 22 cm. Find its total surface area.

open parentheses Take space straight pi space equals space 22 over 7 close parentheses
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44. Twenty cylindrical pillars of a building are to be cleaned. If the diameter of a pillar is 0.5 m and height is 4 m, what will be the cost of cleaning them at the rate of र 3 per m2. (Take straight pi= 3.14)
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45. Find the curved surface area of a closed cylindrical petrol storage tank that is 3.8 m in diameter and 4.9 m high.
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46. The diameter of roller 1.5 m long is 84 cm. If it takes 100 revolutions to level a playground, find the cost of levelling this ground at the rate of 50 paise per square metre.
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47. The cost of painting the total outside surface of a closed cylindrical tank at 60 paise per sq. d.m. is र 237.60. The height of the tank is 6 times the radius of the base of the tank. Find its volume correct to two decimal places.
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48. Savitri had to make a model of a cylindrical kaleidoscope for her science project. She went to buy the chart paper to make the curved surface of the kaleidoscope. What would be the area of chart paper required by her, if she wanted to make a kaleidoscope of length 25 cm with a 3.5 cm radius? You may take straight pi equals 22 over 7.


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49. The radii of two right circular cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 4. Calculate the ratio of their curved surface areas.
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50. A cylindrical tower is 5 m in diameter and 14 m high. Find the cost of white-washing its curved surface at र 10 per square metre.
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