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Surface Areas and Volumes

Short Answer Type

171. 1.1 cu.cm of copper is to be drawn into a cylindrical wire 0.5 cm in diameter. Calculate the length of the wire.

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172. The difference between outside and inside surface of a cylindrical metallic pipe 14 cm long is 44 cm². If the pipe is made of 99 cm³ of metal, find the outer and inner radii of the pipe.

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173. Rain water which falls on a flat rectangular surface of length 6 cm and breadth 4 m is transferred into a cylindrical vessel of internal radius 20 cm. What will be the height of water in the cylindrical vessel if the rain fall is 1 cm? Give your answer to the nearest whole number. (Use $straight pi$ = 3.14)

Volume of rain water

equals 6 cross times 4 cross times 1 over 100 space straight m cubed equals space 6 over 25 space straight m cubed

Let the height of water in the cylindrical vessel be h cm, Then,
Volume of water in the cylindrical vessel = π(20)² h cm³ According to the question,

$6 over 25 cross times 100 cross times 100 cross times 100 equals 3.14 cross times 400 cross times h$

$rightwards double arrow space space space space space space space space space straight h equals 191 space cm$

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174. The pillars of a temple are cylindrically shaped. If each pillar has a circular base of radius 20 cm and height 10 m, how much concrete mixture would be required to build 14 such pillars?

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175. t a Ramzan Mela, a stall keeper is one of the food stalls has a large cylindrical vessel of base radius 15 cm filled up to a height of 32 cm with orange juice. The juice is filled in small cylindrical glasses of radius 3 cm up to a height of 8 cm, and sold for र 3 each. How much money does the stall keeper receive by selling the juice completel?

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176.

The volume of a right circular cylinder is 1100 cm³ and the radius of its base is 5 m. Find its curved surface area.

$open parentheses Use space straight pi space 22 over 7 close parentheses$

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177. The volume of a cylinder is 448π cubic cm and the height is 7 cm. Find its total surface area.

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178. The outer and inner radii of a hollow copper cylinder of height 6 cm are 11 cm and 10 cm. Find the volume of the copper used.

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179.

Volume of a right circular cylinder is 1100 cm³ and the radius of its base is 5 cm. Find its curved surface area.

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180. The radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of 5 : 3. Find the ratio of their volumes

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Previous Year Papers

Test Series

Test Yourself

Short Answer Type

173. Rain water which falls on a flat rectangular surface of length 6 cm and breadth 4 m is transferred into a cylindrical vessel of internal radius 20 cm. What will be the height of water in the cylindrical vessel if the rain fall is 1 cm? Give your answer to the nearest whole number. (Use = 3.14)