The volume of the cone is 564.15 cu. cm.
The correct option is B.
Why is the volume of a cone?
The volume of a cone with height h and radius r is 13πr2h, that's exactly one 1/3 the volume of the smallest cylinder that it suits inside. This could be proved without difficulty by means of thinking about a cone as a solid of revolution, however, I would love to understand if it can be proved or as a minimum visual established without the usage of calculus.
The cone which has the identical base radius and height will have the same base area however its extent isn't always without delay base place times h, which is quite intuitive as cones with equal dimensions may have a lesser quantity. Its extent comes to be 1/3rd of cylinder volume.
Volume of cone
=1/3 *pi *r^2 *h
=1/3*3.14*7^2*11
=564.44
Therefore and is on solving
We get 564.44 approximately
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