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51.

Describe how the two figures at the right are alike and how they are different. Which box has larger surface area?

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52. A closed cylindrical tank of radius 7 m and height 3 m is made from a sheet of metal. How much sheet of metal is required?

Here, r = 7 m and h = 3 m
∴ Total surface area = $2 πr left parenthesis straight r plus straight h right parenthesis$
= $2 cross times 22 over 7 cross times 7 cross times left parenthesis 7 plus 3 right parenthesis space straight m squared$

= $2 cross times 22 over 7 cross times 7 cross times 10 space straight m squared$

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$space space equals space 440 space straight m squared$
Thus, $440 space straight m squared$ metal is required.

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53. The lateral surface area of a hollow cylinder is 4224 cm². It is cut along its height and formed a rectangular sheet of width 33 cm. Find the perimeter of rectangular sheet?

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54.

A road roller takes 750 complete revolutions to move once over to level a road. Find the area of the road if the diameter of a road roller is 84 cm and length is 1 m.

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55. A company packages its milk powder in cylindrical container whose base has a diameter of 14 cm and height 20 cm. Company places a label around the surface of the container as shown in the figure. If the label is placed 2 cm from top and bottom, what is the area of the label?

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56. The length, breadth and height of a cuboid are 20 cm, 15 cm and 10 cm respectively. Find its total surface area.

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57. An aquarium is in the form of a cuboid whose external measures are 80 cm x 30 cm x 40 cm. The base, side faces and back faces are to be covered with a coloured paper. Find the area of the paper needed.

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58. The internal measures of a room are 12 m x 8 m x 4 m. Find the total cost of white washing all four walls of a room if the cost of white washing is Rs 5 per m². What will be the cost of white washing if the ceiling is also white washed?

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59. In a building there are 24 cylindrical pillars. The radius of each pillar is 28 cm and height is 4 m. Find the total cost of painting the curved surface area of all pillars at the rate of Rs 8 per m².

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60. Find the height of a cylinder whose radius is 7 cm and the total surface area is 968 cm².

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