Volume Presentation Volume of a Volume with sphere, cone, Slant - - PowerPoint PPT Presentation

Volume Presentation

Volume of a sphere, cone, cylinder, and pyramid. Volume of Composite figures Volume with Slant height By: Coach Ruark

Volume of a Sphere

A sphere has no base so you do not have to find the area of the base. Make sure you have the Radius and use the formulas four thirds times pi multiplied by the radius squared.

Volume of a Pyramid

Since the volume formula has B (area of the base) we must find the area of the base which is a triangle, so We must multiply the base times the height and half their product. Then to find the volume we will multiply B by the height of the pyramid and divided it by 3.

A pyramid is one third the size of a prism and that is Why we divide by 3 in the volume formula.

Volume of a Cylinder

First we find the area of the circular base using the formula pi times the radius

• squared. Then

We use the area of the base for big B

• ne the volume formula for a

cylinder, which is big B times the height.

Volume of a Cone

• First find the area of the

circular base using pi times radius squared.

• Then substitute the area in for

the big B in the volume formula of a cone.

• Multiply the area of the base

by the height and divide the product by 3.

• A cone is one third of a

cylinder that is why you divide by 3 in the volume formula.

.

• Find the the volume
• f a figure with the

slant height you first have to find the actual height by using the Pythagorean theorem.

• You then must find the

area of the base.

• Multiply the area of the

base by the height.

• Divide it by 3.

Click picture of formulas to view screen chomp video for composite figures.

• 1. To find the volume of composite figures.
• 2. First find volume of each figure.
• 3. Then add or subtract.