Question

There is a cylinder water tank of height10.5mand base with diameter 4.2m full with water it is emptied into a cultural water tank dimension9m*7m*3m find the height of water in cuboidal tank

Answer 1

THANKS FOR THE QUESTION !

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GIVEN :

HEIGHT :

=> 10.5 M

DIAMETER :

=> 4.2 M

RADIUS :

=> DIAMETER / 2

=> 4.2 / 2

= 2.1 M

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CONDITION IS FILLING OF WATER .....

=> SO, WE HAVE TO FIND ITS VOLUME .....

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VOLUME OF A CYLINDER :

=> π * r^2 * h

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=> 22/7 * 2.1 * 2.1 * 10.5

=> 22 * 0.3 * 2.1 * 10.5

=> 6.6 * 2.1 * 10.5

=> 145.53 cu.m.

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SO THE VOLUME OF WATER THAT CYLINDER CAN HOLD IS :

=> 145.53 CU.M

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DIMENSIONS OF TANK :

LENGTH :

=> 9 M

HEIGHT :

=> 7M

BREADTH :

=> 3M

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=> VOLUME OF TANK :

=> L * H * B

=> 9 * 7 * 3

=> 189 CU.M

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NOW ,

=> HEIGHT IS I TAKEN AS 7 M

=> SO DIVIDE 7 INTO TWO PARTS .....

=> 189 / 145.53 = 7 / ?

=> HEIGHT OF WATER :

=> 145.53 * 7 / 189

=> 5.39m

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HOPE IT WILL HELP U .....

THANKS AGAIN.....

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Answer 2

Answer:

2.31 m

Step-by-step explanation:

Find the volume of the cylinder:

Volume = πr²h

Volume =  π(4.2 ÷ 2)²(10.5) = 145.53 m³

Find the area of the water tank:

Area = Length x Breadth

Area = 9 x 7 = 63 m²

Find the height of the water:

Height = Volume ÷ Area

Height = 145.53 ÷ 63 = 2.31 m

Answer: The height of the water is 2.31m