the base radius of a cone and cylinder are saying if there are equal find the ratio of the height of the of the coal is the height of a cylinder
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Let h and r be the height and radius of the cone respectively.
Given that the height and the base radius of a Cone and Cylinder are equal to the radius of the Sphere.
Therefore,
Radius of sylinder =r
Height of cylinder =h
Now,
Volume of cone (V1)=31πr2h.....(1)
Volume of cylinder (V2)=πr2h.....(2)
Dividing equation (1) by (2), we have
V2V1=πr2h31πr2h
⇒V2V1=31
Hence the ratio of the volume of cone to that of cylinder is 1:3
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