Volume and Surface Area Review

The formula for the surface area of a sphere is $$SA = 4\pi r^2$$ , where r is the radius.

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

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

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

To find the volume of a composite figure, calculate the volume of each individual shape and then sum them up.

The surface area of a cylinder is given by $$SA = 2\pi r(h + r)$$ , where r is the radius and h is the height.

Using the formula $$V = \pi r^2 h$$ , the volume is $$V = \pi (4.5)^2 (32) \approx 636.17 \text{ in}^3$$ .

The surface area of a cylinder is found by adding the lateral area to the area of the two bases: $$SA = 2\pi rh + 2\pi r^2$$ .

Using the formula $$V = \frac{4}{3}\pi r^3$$ , the volume is $$V = \frac{4}{3}\pi (3)^3 \approx 113.1 \text{ m}^3$$ .

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