1. Daily Check
Find x.
1. Find the volume of the sphere. Round to the nearest cubic meter.
2. What is the total surface area of a sphere whose radius is 5.5 meters?
Two similar triangles have radii ratio of 2:8. What is the ratio of their surface areas?
What is the ratio of their volumes?

2. Review Homework

3. CCGPS Geometry Day 27 (9-13-13)
UNIT QUESTION: What special properties are found with the parts of a circle?
Standard: MMC9-12.G.C.1-5,G.GMD.1-3
Today’s Question:
How do we find the volume of cylinders, prisms, cones, and pyramids?
Standard: MMC9-12.G.GMD1 and 3

4. of Prisms and Cylinders
Volume
of Prisms and Cylinders

5. VOLUME = the number of cubic units contained in its interior
VOLUME has cubic units
Cm3, ft3, units3
VOLUME = the number of cubic units contained in its interior

6. Volume = length•width•height
In a CUBE they are all the same
The volume of a cube is side3
Volume = s3
4 ft
Volume = 43
Volume = 64 ft3

7. When a prism is NOT a cube…
B (area of the BASE)
The formula for B will depend on the shape of the base.

8. Volume Formula for Prisms & Cylinders
V = Bh

9. B = area of the BASE h = HEIGHT
Volume of a Prism
B = area of the BASE h = HEIGHT
4 in
3 in
2 in
V = 12 in3

10. V = 769.7 cm3 Volume of a Cylinder 7 cm 5 cm
Round to the nearest tenth.
7 cm
5 cm
V = cm3

11. Volume Formula for Cones & Pyramids

12. Find the volume.
8 ft
10 ft
12 ft

13. 3 cm What is the volume of this cone? Round to the nearest tenth.