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CBSE Class 9 Answered

qus 1 - The height of sand in a cylinder - shaped can drop 3 inches when 1 cubic foot of sand is poured out. what is the diameter, in inches, of the cylinder ?
 
qus 2 - Two steel sheets each of length a1 and breadth a2 are used to prepare the surfaces of two right circular cylinders _ one having volume v1 and height a2 and ohter having volume v2 and height a1. then prove that a2v1 = a1v2.
 
qus 3 - The altitude of a circular cylinder is increased six times and the base varea is decreased one ninth of its value.prove that  the factor by which the lateral surface surface of the cylinder increases is 2.
Asked by Varsha | 24 Jan, 2015, 08:53: PM
answered-by-expert Expert Answer
12 space i n c h e s space equals space 1 f o o t 1 space c u b i c space f o o t space equals 12 cubed space c u b i c space i n c h e s L e t space t h e space r a d i u s space o f space t h e space c y l i n d e r space b e space apostrophe r apostrophe space i n c h e s. V o l u m e space o f space s a n d space t h a t space h a s space b e e n space t a k e n space o u t space equals πr squared cross times 3 Volume space of space the space sand space that space has space been space taken space out space equals space 12 cubed space cubic space inches left parenthesis Given right parenthesis πr squared cross times 3 equals 12 cross times 12 cross times 12 straight r squared equals fraction numerator 4 cross times 12 cross times 12 over denominator straight pi end fraction straight r equals fraction numerator 24 over denominator square root of straight pi end fraction Diameter space comma 2 straight r equals fraction numerator 48 over denominator square root of straight pi end fraction space inches Please space post space each space question space separately.
Answered by Prasenjit Paul | 26 Jan, 2015, 02:23: AM

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CBSE 9 - Maths
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CBSE 9 - Maths
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