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CBSE Class 9 Answered

A cylindrical container of base radius 6 cm, has water upto a height of 5 cm. Find (a) volume of water (b) A metal sphere of radius 2 cm is totally submerged in the water. Find rise in the water level.
Asked by mkmishra101 | 02 Mar, 2016, 07:59: PM
answered-by-expert Expert Answer
left parenthesis straight a right parenthesis space Volume space of space cylinder space equals space πr squared straight h Base space radius space equals space straight r space equals space 6 cm comma space height space of space water space equals straight h space equals space 5 space cm. Volume space of space water space equals πr squared straight h equals space 3.14 cross times open parentheses 6 close parentheses squared cross times open parentheses 5 close parentheses equals 565.2 space cm cubed left parenthesis straight b right parenthesis Volume space of space water space when space height space is space 1 space cm space equals space fraction numerator 565.2 over denominator 5 end fraction equals 113.04 space cm cubed straight A space metal space sphere space of space radius space 2 space cm space is space totally space submerged space in space the space water. Volume space of space sphere space equals space 4 over 3 πr cubed equals 4 over 3 cross times 3.14 cross times 8 space equals 33.5 space cm cubed Increase space in space water space level space equals space fraction numerator Volume space of space sphere space over denominator Volume space of space water space when space height space is space 1 space cm end fraction space equals space fraction numerator 33.5 over denominator 113.04 end fraction equals 0.3 space cm Increase space in space water space level space is space 0.3 Cm
Answered by Vijaykumar Wani | 03 Mar, 2016, 11:43: AM

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CBSE 9 - Maths
25 The "Caring old people organisation"  needs money to build the old age home which requires 164000 bricks.  Bricks measure 10 cm8 cm 4 cm and cost of brick depends on its volume at the rate of ` 1 per 100 cm3.  It requires 4 cylindrical cans of paint of radius 14 cm and height 30 cm.  The cost of paint is ` 1 per 20 cm3.  How much money is required by organisation ?  If “A company gives the money to organization” then, what common value is depicted by A company and organisation.
Asked by harshsejal.83 | 16 Feb, 2023, 03:36: PM
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CBSE 9 - Maths
the perimeter of the base of a right circular cylinder is 88 cm and it's height is 10cm then its volume is
Asked by remsindi | 18 Jul, 2021, 06:11: PM
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CBSE 9 - Maths
From a cylindrical wooden log of length 30 cm and base radius 7 root 2 cm, biggest cuboid of square base is made. Find the volume of wood wasted.
Asked by ayushsuukla987 | 31 Dec, 2020, 10:45: AM
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CBSE 9 - Maths
A cube of copper edge 11cm is melted and formed into a cylindrical wire of diameter 0.5cm. what length of wire will be obtained from the cube
Asked by agentdevil1818 | 03 Mar, 2020, 05:27: PM
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CBSE 9 - Maths
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 ?
Asked by Sourabh2002yadav | 13 Nov, 2018, 04:07: PM
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CBSE 9 - Maths
The circumference of the base of a cylindrical vessel of height 28 cm is 352 cm. Find the amount of water it can hold.
Asked by Topperlearning User | 13 Oct, 2017, 01:47: PM
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CBSE 9 - Maths
A rectangular piece of paper 33 cm long and 16 cm wide is rolled along its breadth to get a cylinder of height 16 cm. Find the volume of the cylinder.
Asked by Topperlearning User | 13 Oct, 2017, 01:52: PM
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CBSE 9 - Maths
A cylindrical vessel of diameter 84 cm and height 18 cm contains milk. This milk is to be filled in cylindrical tumblers of radius 7 cm and height 6 cm. Find the number of tumblers that can be filled with milk.
Asked by Topperlearning User | 13 Oct, 2017, 02:14: PM
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CBSE 9 - Maths
A solid rectangular block of iron of dimensions 7 cm x 4 cm x 2.75 cm is recast into a cylinder of radius 7 cm. Find the height of the recast cylinder.
Asked by Topperlearning User | 26 Oct, 2017, 11:52: AM
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CBSE 9 - Maths
A cylindrical bucket of diameter 28 cm and height 12 cm is full of water. The water is emptied into a rectangular tub of length 66 cm and breadth 28 cm. Find the height to which water rises in the tub.  
Asked by Topperlearning User | 13 Oct, 2017, 01:56: PM
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