a cone of radius 5cm is filled with water. if the water is poured in a cylinder of radius 10 cm, the height of the water rises 2cm,find the weight of the cone
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Answers
Answer:
24 cm
Step-by-step explanation:
Given A cone of radius 5 cm is filled with water. if the water is poured in a cylinder of radius 10 cm, the height of the water rises 2 cm, to find the height of the cone
Given radius of cone as 5 cm.
We know that volume of cone is given by
Volume of cone = 1/3 π r^2 h
= 1/3 π 5^2 h
= 1/3 π 25 h
Now radius of cylinder is 10 cm, given height of water rises 2 cm, so we can take height of cylinder as 2 cm
Volume of cylinder = π r^2 h
So we can equate volume of cylinder to volume of cone.
So π r^2 h = 25 /3 π h
π x 10^2 x 2 = 25 / 3 π h
200 π = 25/3 π h
h = 600 / 25
h = 24 cm
The height of the cone is 24 cm
Answer:
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Step-by-step explanation:
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