Question

use the list to write the dimensions that can be used to find the volume and surface area of each figure. you will need to use some of the words more than once.
height slant height radius

1. sphere
2. cone
3. cylinder

Explanation:

Step1: Recall formulas for sphere

The volume of a sphere is \(V=\frac{4}{3}\pi r^{3}\) and the surface area is \(S = 4\pi r^{2}\), where \(r\) is the radius.

Step2: Recall formulas for cone

The volume of a cone is \(V=\frac{1}{3}\pi r^{2}h\) and the surface area is \(S=\pi r(r + l)\) (where \(l\) is the slant height and \(h\) is the height).

Step3: Recall formulas for cylinder

The volume of a cylinder is \(V=\pi r^{2}h\) and the surface area is \(S = 2\pi r(r + h)\) (where \(h\) is the height).

Answer:

1. Sphere: radius
2. Cone: radius, height, slant height
3. Cylinder: radius, height