Transcript Document

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?
3. Two similar triangles have radii ratio of 2:8.
What is the ratio of their surface areas?
What is the ratio of their volumes?
Review Homework
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
VOLUME has
cubic units
Cm3, ft3,
units3
VOLUME = the number of cubic
units contained in its interior
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
When a prism is NOT a cube…
B (area of the BASE)
The formula for B will depend
on the shape of the base.
Volume Formula for
Prisms & Cylinders
V = Bh
Volume of a Prism
V  Bh
B = area of the BASE
4 in
3 in
h = HEIGHT
V  area of the Base  h
V  .5  base of   height of   2
2 in
V  .5  3  4  2
V = 12
3
in
Volume of a Cylinder
V  Bh
Round to the
nearest tenth.
V  r h
2
7 cm
V   7 5
2
5 cm
V = 769.7 cm3
Volume Formula for
Cones & Pyramids
1
V  Bh
3
Find the volume.
8 ft
1
V  Bh
3
(12  10  8)
V
3
10 ft
12 ft
V  320 ft
3
What is the volume of this cone?
Round to the nearest tenth.
3 cm
2 cm
1
V  Bh
3
2
( r h)
V
3
( 2 3)
V
3
2
V  12.6 cm
3