Question

What is the exact volume of the cone? 28π in³ 563π in³ 1963π in³ 196π in³.

Answer 1

The exact volume of the considered cone is given by: Option C: $\dfrac{196}{3} \pi \: \rm in^3$

How to find volume of a right circular cone?

Suppose that the radius of the base of the considered right circular cone be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

$V = \dfrac{1}{3}\pi r^2 h \: \rm unit^3$

Right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

The missing figure of the cone is attached below.

• The height of the considered cone =  4 inches
• The radius of the base of the cone = 7 inches.

Thus, the volume of the considered cone is given by:

$V = \dfrac{1}{3} \times 7 ^2 \times 4 \times \pi = \dfrac{196\pi}{3} \: \rm in^3$

Thus, the exact volume of the considered cone is given by: Option C: $\dfrac{196}{3} \pi \: \rm in^3$

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