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The volume of a cylinder is 180 cubed meters. What is the volume of a cone with the same radius and height as the cylinder?

User Mustafa Bw
by
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1 Answer

6 votes

Answer:

60 cubic meters will be the volume of such cone.

Explanation:

Formula for volume of a cylinder:


V = \pi r^(2) h ...... (1)

Where
r is the radius of base of cylinder

and
h is the height of cylinder

V = 180 cubic meters

Formula for volume of a cone:


V' = (1)/(3)\pi R^(2) H ...... (2)

Where
R is the radius of base of cone

and
H is the height of cone

Now, it is given that height and radius of cone are equal.


r = R\\h =H

Putting the values in equation (2):


V' = (1)/(3)\pi r^(2) h

Using equation (1):


V' = (1)/(3) * V

Putting V = 180 cubic meters


\Rightarrow V' = (1)/(3) * 180\\\Rightarrow V'=60 \text { cubic meters}

Hence, 60 cubic meters will be the volume of such cone.

User Recurseuntilfor
by
7.9k points

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