Question

The cylinder shown has a volume of 30 cubic units. The

Answer 1

The volume of the cone will be 10 cubic units.

What is volume?

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube or cuboid.

Given that:-

• The cylinder shown has a volume of 30 cubic units.
• The cone and the cylinder have the same height and the same base.

The volume of the cone will be:-

Vc   =   Vcyl

$\dfrac{1}{3} \pi r^2h\ \ \ =\ \ \pi r^2h$

Vc         =    (1  /  3)  Vcyl

Vc         =    ( 1  /  3  ) x  30

Vc         =     10  cubic units

Therefore the volume of the cone will be 10 cubic units.

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