Volume of a Cylinder, Cone and Sphere

The volume of a sphere is given by the formula: $$V = \frac{4}{3}\pi r^3$$ , where r is the radius.

The volume of a cone is given by the formula: $$V = \frac{1}{3}\pi r^2h$$ , where r is the radius and h is the height.

The volume of a cylinder is given by the formula: $$V = \pi r^2h$$ , where r is the radius and h is the height.

The radius is half of the diameter, so if the diameter is 14 cm, the radius is $$7 cm$$ .

The radius is half of the diameter. If d is the diameter, then r = \frac{d}{2}.

To calculate the volume of a cylinder in terms of pi, use the formula: $$V = \pi r^2h$$ .

Using the formula $$V = \frac{4}{3}\pi r^3$$ , the volume is $$\frac{4}{3}\pi (6)^3 = 288\pi\ mm^3$$ .

Using the formula $$V = \frac{1}{3}\pi r^2h$$ , the volume is $$\frac{1}{3}\pi (3)^2(4) = 12\pi\ cm^3$$ .

Using the formula $$V = \pi r^2h$$ , the volume is $$\pi (3)^2(10) = 90\pi\ cm^3$$ .

Pi (π) is a mathematical constant approximately equal to 3.14159.