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A cone has a radius of r units and a height of h units. a cylinder has a ridius of 2r units and has the same volume as the cone. What is the height of the cylinder? write and ex…
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A cone has a radius of r units and a height of h units. a cylinder has a ridius of 2r units and has the same volume as the cone. What is the height of the cylinder? write and ex…
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Jul 7, 2019
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A cone has a radius of r units and a height of h units. a cylinder has a ridius of 2r units and has the same volume as the cone. What is the height of the cylinder? write and explanation of how you got your answer.
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ObjectWithoutClass
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Volume of a cone is calculated as:
Volume of the cylinder is calculated as:
The radius of cylinder is twice the radius of cone. So R=2r. The two volumes are given to be equal, so we can write:
Thus, the height of the cylinder will be h/12
Vladimir K
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Jul 9, 2019
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Vladimir K
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volume of the cone=1/3(pi r^2)(h)and volume of the cylinder= piR^2H
So the radius is equal to 2r
let H be the height
So we will just equate the two volumes:1/3(pi r^2)(h)=piR^2H1/3(pi r^2)(h=(2r)^2H1/3(pi r^2)(h=4r^2H1/3h=4HH=1/12h
SO the height is 1/12h
JoeFish
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Jul 13, 2019
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