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Lesson 11-3 Pages 568-572
Volume: Pyramids and Cones
What you will learn!
1. How to find volume of pyramids.
2. How to find volume of cones.
ConeCone
What you really need to know!
To find the volume V of a pyramid, use the formula V = 1/3 Bh, where B is the area of the base, and h is the height of the solid.
What you really need to know!
To find the volume V of a cone, use the formula V = 1/3 r2h, where r is the radius of the base, and h is the height of the solid.
Link to Pre-Made Lesson
Example 1:
Find the volume of the pyramid. If necessary, round to the nearest tenth.
BhV3
1
1215153
1V
3900inV
Example 2:
Find the volume of the pyramid. If necessary, round to the nearest tenth.
BhV3
1
Base are 19 cm2
Height 21 cm
Base are 19 cm2
Height 21 cm
21193
1V
Base are 19 cm2
Height 21 cm
3133cmV
Example 3:
Find the volume of the cone. If necessary, round to the nearest tenth.
hrV 2
3
1
Example 3:
Find the volume of the cone. If necessary, round to the nearest tenth.
85.53
1 2 V
Example 3:
Find the volume of the cone. If necessary, round to the nearest tenth.
34.253 mV
Example 4:
When mulch was dumped from a truck, it formed a cone-shaped mound with a diameter of 15 feet and a height of 8 feet. What is the volume of the mulch? Round to the nearest whole number.
hrV 2
3
1
85.73
1 2 V
3471 ftV
Example 4b:
How many square feet can be covered with this mulch if 1 cubic foot covers 4 square feet of ground?
4 x 471 = 1,884 ft2
Page 570
Guided Practice
#’s 4-9
Pages 568-570 with someone at home and
study examples!
Read:
Homework: Pages 571-572
#’s 10-23, 27-34
Practice Quiz 1 #’s 1-5
Page
751
Lesson 11-3