1. July 7, 2019 Write in your planner and on your stamp sheet:
Homework: p. 54 #4 – 9, 13, 14
WARM-UP: Write down each problem and solve. Show your thinking!

2. July 7, 2019
Agenda:
Volume of spheres, cones
Volume of pyramids

3. How do the volumes of square pyramids and rectangular prisms compare?
Do you think the volume of a square pyramid is greater than or less than the volume of a rectangular prism with the same sized base? Why?
Click here to see if you are correct:

4. Volume of a Square Pyramid Recap
The volume of a square pyramid is 1/3 the volume of a rectangular prism with the same base.
Based on this information, write the formula for volume of a square pyramid.
Write this in your Process Grid!

5. Write this in your Process Grid!
Solve for the volume.
Volume = 1/3 x volume of rectangular prism
Volume = 1/3Bh
Volume = 1/3 x 25 x 25 x 15
Volume = 3,125 cubic feet
15 feet
25 feet
Write this in your Process Grid!

6. How do the volumes of spheres compare to a cylinder?
Do you think the volume of a sphere is greater than or less than the volume of a cylinder? Why?
Click here to see if you are correct:

7. Volume of Spheres Recap
The volume of a sphere is 2/3 the volume of a cylinder.
The height of the sphere is the same as the diameter of the sphere.
Based on this information, write the formula for volume of a sphere.
Write this in your Process Grid!

8. Solve for volume. 24 miles Volume = 2/3 x volume of a cylinder
Volume = 2/3 x radius x radius x pi x height
Radius = 12 miles
Height = diameter = 24 miles
Volume = 2/3 x 12 x 12 x 3.14 x 24
Volume = cubic miles
24 miles

9. How do the volumes of cones and cylinders compare?
Do you think the volume of a cone is greater than or less than the volume of a cylinder with the same sized base? Why?
Click here to see if you are correct:

10. Volume of Cones Recap
The volume of a cone is 1/3 the volume of a cylinder.
Based on this information, write the formula for volume of a cone.
Write this in your Process Grid!

11. Solve for volume. Volume = 1/3 x volume of a cylinder
Volume = 1/3 x radius x radius x pi x height
Volume = 1/3 x 5 x 5 x 3.14 x 12
Volume = 314 cubic feet
12 feet
5 feet