The difference between outside and inside surface of a cylindric

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 Multiple Choice QuestionsShort 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.


Let the outer and inner radii of the pipe be R cm and r cm respectively. Then,

             2 πR left parenthesis 14 right parenthesis minus 2 πr left parenthesis 14 right parenthesis equals 44

rightwards double arrow space space space space space space 28 straight pi space left parenthesis straight R minus straight r right parenthesis equals 44

rightwards double arrow space space space space space space 28 cross times 22 over 7 left parenthesis straight R minus straight r right parenthesis equals 44

rightwards double arrow     straight R minus straight r equals 1 half space space space space space space space space space space... left parenthesis 1 right parenthesis
and,    πR squared left parenthesis 14 right parenthesis minus πr squared left parenthesis 14 right parenthesis equals 99

rightwards double arrow space space space space space space 14 straight pi space left parenthesis straight R squared minus straight r squared right parenthesis equals 99

rightwards double arrow space space space space space space space space space 14 cross times 22 over 7 left parenthesis straight R squared minus straight r squared right parenthesis space equals space 99
rightwards double arrow space space space space space space space space space left parenthesis straight R plus straight r right parenthesis left parenthesis straight R minus straight r right parenthesis equals 9 over 4
rightwards double arrow space space space space space space space space space space left parenthesis straight R plus straight r right parenthesis 1 half equals 9 over 4 space space space space space space vertical line space From space left parenthesis straight i right parenthesis
rightwards double arrow space space space space space space space space space space straight R plus straight r equals 9 over 2 space space space space space space... left parenthesis 2 right parenthesis
Solving (1) and (2), we get

           straight R equals 5 over 2 space cm
straight r space equals space 2 space cm

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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)
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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 448Ï€ 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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