3 Vocabulary Terms - Define/Illustrate

Question

1. What is the difference between a Sphere, a Cone, and a Cylinder? 2. What is the difference between the formulas for these circular solids?

3. Write the formula and name the dimensions you need to know to calculate the volume of a Sphere:

Answer 1

1.
Sphere: A sphere is a three-dimensional shape with all points equidistant from its center. It has a curved surface and no edges or vertices.
Cone: A cone is a three-dimensional shape with a circular base that tapers to a point called the apex. It has a curved surface and one vertex.
Cylinder: A cylinder is a three-dimensional shape with two parallel circular bases connected by a curved surface. It has a flat surface and no vertices.

2. The formulas for these circular solids are:
- Sphere: V = (4/3)πr^3
- Cone: V = (1/3)πr^2h
- Cylinder: V = πr^2h

3. Formula for the volume of a sphere: V = (4/3)πr^3
Dimensions you need to know:
- r (radius): The distance from the center of the sphere to any point on its surface.