Section 10.9 – Volume: Pyramids, Cones, and Spheres pages 566 - 569 1 1

You can fill three cones with sand and pour the contents into a cylinder with the same height and radius. You will fill the cylinder evenly to the top. The volume of the cone is one third the volume of the cylinder. The same relationship is true of a pyramid and a prism with the same base and height

Volume of a Cone and of a Pyramid The volume V of a cone or a pyramid is          the product of the base area B and the height h. V= ⅓ Bh

Finding Volume of a Cone Find the volume of the cone. The volume of the cone is about 94 ft3.

Check Understanding a. Find the volume, to the nearest cubic unit, of a cone with height 5 cm and a radius of base 2 cm.

Finding Volume of a Pyramid Find the volume of the square pyramid. The volume of the pyramid is 120 ft3.

Check Understanding b. Find the volume of a square pyramid that has a side of 5 ft and a height of 20 ft.

Volume of a Sphere V = r2

The volume of the bottom snow sphere is about 14 ft3. Real-World Problem Solving Snow Spheres You build a snow statue with snow spheres. What is the volume of the snow in the bottom sphere? The volume of the bottom snow sphere is about 14 ft3.

Check Understanding c. Find the volume of a sphere with radius = 15 m

Check Understanding d. Find the volume of a sphere with diameter = 7 mi

Homework pages 568 #s 1-14 SHOW ALL WORK! failure to show work will result in either receiving partial or no credit 12 12