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Q.

The formula of volume of cone:


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a

13 ×Volume of cylinder

b

73 ×Volume of cylinder

c

π3 ×Volume of sphere

d

π3 ×Volume of cylinder 

answer is A.

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Detailed Solution

The following is the diagram of a cone,
 Question ImageWe have a cone with radius r, height h and slant height l. We can see that the base of the cone is circular. The area of the circular base is πr2. The formula of the volume of cone is given as
 volume of cone = 13 πr2h
We know that the volume of the cylinder with radius r and height h is given as
 volume of cylinder = πr2h
So, we get the following relation between the volume of a cone and the volume of a cylinder,
 volume of cone = 13 × volume of cylinder
 
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