Volume of Spheres, Cones, and Cylinders and Surface Area

The formula for the volume of a cylinder is $$V = \text{Base Area} \times \text{Height} = \text{π} r^2 h$$ .

To find the radius, divide the diameter by 2: $$r = \frac{d}{2}$$ .

The formula for the surface area of a cylinder is $$SA = 2\text{π} r(h + r)$$ .

The formula for the volume of a cone is $$V = \frac{1}{3} \text{π} r^2 h$$ .

The formula for the volume of a sphere is $$V = \frac{4}{3} \text{π} r^3$$ .

The formula for the surface area of a sphere is $$SA = 4\text{π} r^2$$ .

Using the formula $$V = \frac{4}{3} \text{π} r^3$$ , the volume is approximately 523.6 cm³.

Using the formula $$V = \text{π} r^2 h$$ , the volume is approximately 94.2 cm³.

The diameter is twice the radius: $$d = 2r$$ .

The total surface area of a cone is $$SA = \text{π} r (r + l)$$ , where l is the slant height.