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It costs र 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of र 20 per m², find
(i) inner curved surface area of the vessel,
(ii) radius of the base,
(iii) capacity of the vessel.

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156. 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?

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157. A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is 7 mm and the diameter of the graphite is 1 mm. If the length of the pencil is 14 cm, find the volume of the wood and that of the graphite.

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158.
A patient in 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?

Diameter = 7 cm

therefore

Radius (r) =

7 over 2 space cm

Height (h) = 4 cm

therefore

Volume of soup in the cylindrical bowl =

πr squared straight h

equals 22 over 7 cross times open parentheses 7 over 2 close parentheses squared cross times 4 space cm cubed equals space 154 space cm cubed

Volume of soup to be prepared daily to serve 250 patients
= 154 x 250 cm³ = 38500 cm³ (or 38.5l)
Hence, the hospital has to prepare 38500 cm³ (or 38.5l) of soup daily to serve 250 patients.

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159. The volume of a cylinder is 448π cm³ and height 7 cm. Find its lateral surface area and total surface area.

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160. The diameter of the base of a right circular cylinder is 28 cm and its height is 21 cm. Find its (i) curved surface area (ii) total surface area and (iii) volume.

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