Geometry 12.5 notes

Geometry 12. 5 Volume of Pyramids and Cones

Volume of a Right Pyramid = (1/3)Bh

B = Area of the base

h = height of the solid

Volume of a Right Cone = (1/3) Bh = (1/3) (pi) r²h

Examples:

You have a regular pyramid with a square base that has a side of 3 cm and a height of 6 cm. What is it’ volume?

V = (1/3)Bh = (1/3)(3)(3)(6) = 18 cubic cm.

Example:

You have a right cone solid with a radius of 6.7 m and a height of 10.2 m. What is it’s volume?

V = (1/3) Bh = (1/3) (pi) (6.7²)(10.2) = 152.63(pi) cubic meters or about 479.4887203 cubic meters.