10-5
Exercises
KEYWORD: MG7 10-5
KEYWORD: MG7 Parent
GUIDED PRACTICE
1. Vocabulary Describe the endpoints of an axis of a cone.
SEE EXAMPLE
1
p. 689
Find the lateral area and surface area of each regular pyramid.
2.
3.
£ÓÊV“
£xÊvÌ
£ÈÊvÌ
nÊV“
£ÈÊvÌ
4. a regular triangular pyramid with base edge length 15 in. and slant height 20 in.
SEE EXAMPLE
2
p. 691
Find the lateral area and surface area of each right cone. Give your answers in
terms of π.
5.
6.
Ó{ʈ˜°
ÓÓʓ
Óxʈ˜°
£{ʓ
7. a cone with base area 36π ft 2 and slant height 8 ft
SEE EXAMPLE
3
p. 691
Describe the effect of each change on the surface area of the given figure.
8. The dimensions are cut in half.
9. The dimensions are tripled.
£xÊV“
£äʈ˜°
Èʈ˜°
SEE EXAMPLE 4
p. 692
Èʈ˜°
™ÊV“
Find the surface area of each composite figure.
10.
11.
ÓÈʓ
£Óʓ
£xÊvÌ
nÊvÌ
£xʓ
ÎÓʓ
£nÊvÌ
SEE EXAMPLE
p. 692
5
12. Crafts Anna is making a birthday hat from a pattern
that is __34 of a circle of colored paper. If Anna’s head is
7 inches in diameter, will the hat fit her? Explain.
Èʈ˜°
10- 5 Surface Area of Pyramids and Cones
693
PRACTICE AND PROBLEM SOLVING
Independent Practice
For
See
Exercises Example
13–15
16–18
19–20
21–22
23
1
2
3
4
5
Extra Practice
Skills Practice p. S23
Application Practice p. S37
Find the lateral area and surface area of each regular pyramid.
13.
14.
ÓxÊV“
{ÊvÌ
{äÊV“
ÈÊvÌ
ÈÊvÌ
15. a regular hexagonal pyramid with base edge length 7 ft and slant height 15 ft
Find the lateral area and surface area of each right cone. Give your answers in
terms of π.
16.
17.
ÓÎÊV“
Îxʈ˜°
ÓÎÊV“
Ó{ʈ˜°
18. a cone with radius 8 m and height that is 1 m less than twice the radius
Describe the effect of each change on the surface area of the given figure.
19. The dimensions are divided by 3.
20. The dimensions are doubled.
xʓ
£ÓÊvÌ
Óʓ
{ÊvÌ
Find the surface area of each composite figure.
21.
22.
£Çʈ˜°
Ó{ʈ˜°
£xÊV“
™ÊV“
£™ÊV“
Çʈ˜°
23. It is a tradition in England to celebrate May 1st by
hanging cone-shaped baskets of flowers on neighbors’
door handles. Addy is making a basket from a piece of
paper that is a semicircle with diameter 12 in. What is
the diameter of the basket?
£Óʈ˜°
Find the surface area of each figure.
Shape
Base Area
Slant Height
Regular square pyramid
36 cm 2
5 cm
25.
Regular triangular pyramid
√
3m
√
3m
26.
Right cone
16π in 2
7 in.
27.
Right cone
π ft 2
2 ft
24.
694
Chapter 10 Spatial Reasoning
2
Surface Area
10-8
Exercises
KEYWORD: MG7 10-8
KEYWORD: MG7 Parent
GUIDED PRACTICE
1. Vocabulary Describe the endpoints of a radius of a sphere.
SEE EXAMPLE
1
p. 714
Find each measurement. Give your answers in terms of π.
2. the volume of the hemisphere
3. the volume of the sphere
£Ê“
££Êˆ˜°
4. the radius of a sphere with volume 288π cm 3
SEE EXAMPLE
2
p. 715
5. Food Approximately how many times as great is the volume of the grapefruit
as the volume of the lime?
£äÊV“
SEE EXAMPLE
3
p. 716
xÊV“
Find each measurement. Give your answers in terms of π.
6. the surface area of the sphere
7. the surface area of the sphere
£ÈÊÞ`
ÊÊ{™ûV“ÊÓ
8. the volume of a sphere with surface area 6724π ft 2
SEE EXAMPLE 4
p. 716
Describe the effect of each change on the given measurement of the figure.
9. surface area
10. volume
1.
The dimensions are multiplied by _
4
The dimensions are doubled.
£xʈ˜°
SEE EXAMPLE
p. 717
5
£ÈÊV“
Find the surface area and volume of each composite figure.
11.
xÊvÌ
ÓÊvÌ
Óʈ˜°
12.
Îʈ˜°
718
Chapter 10 Spatial Reasoning
nʈ˜°
PRACTICE AND PROBLEM SOLVING
Independent Practice
For
See
Exercises Example
13–15
16
17–19
20–21
22–23
Find each measurement. Give your answers in terms of π.
13. the volume of the sphere
1
2
3
4
5
Extra Practice
Skills Practice p. S23
Application Practice p. S37
14. the volume of the hemisphere
£nÊV“
ÇÊvÌ
15. the diameter of a sphere with volume 7776π in
3
16. Jewelry The size of a cultured pearl is typically
indicated by its diameter in mm. How many times
as great is the volume of the 9 mm pearl as the
volume of the 6 mm pearl?
Èʓ“
™Ê““
Find each measurement. Give your answers in terms of π.
17. the surface area of the sphere
18. the surface area of the sphere
ӣʈ˜°
ÊÊn£ûˆ˜ÊÓ 19. the volume of a sphere with surface area 625π m 2
Describe the effect of each change on the given measurement of the figure.
20. surface area
1.
The dimensions are multiplied by _
5
21. volume
The dimensions are multiplied by 6.
£°ÓÊvÌ
£{ʓ“
Find the surface area and volume of each composite figure.
22.
23.
ÎÊV“
{ÊV“
xÊV“
£äʓ“
Ó{ʓ“
nʓ“
£äÊV“
24. Find the radius of a hemisphere with a volume of 144π cm 3.
25. Find the circumference of a sphere with a surface area of 60π in 2.
26. Find the volume of a sphere with a circumference of 36π ft.
27. Find the surface area and volume of a sphere centered at (0, 0, 0) that passes
through the point (2, 3, 6).
28. Estimation A bead is formed by drilling a cylindrical hole with
a 2 mm diameter through a sphere with an 8 mm diameter.
Estimate the surface area and volume of the bead.
10 - 8 Spheres
719