Math 8 Chapter 8

Volumes of Cylinders

100

What is the algebraic formula for the volume of a cylinder?

V = B*h

200

p.338 #3

1526.8 cubed feet

300

p.338 #10

883.6 cubed meters

400

p.339 #13

5 feet

500

p.338 #12

about 6032 gallons

Volumes of Cones

100

What is the algebraic formula for the volume of a cone?

V = 1/3 *B*h

200

p.344 #4

16.8 cubed inches

300

p.344 #9

115.5 cubed yards

400

p.345 #15

1.5 feet

500

p.344 #13

The diameter was used instead of the radius;

V=1/3*3.14*1²*3

V=3.14 cubed meters

Volumes of Spheres

100

What is the algebraic formula for the volume of a sphere?

V = 4/3*3.14*r³

200

p.352 #3

523.6 cubed inches

300

p.352 #8

11,494.0 cubed meters

400

p.352 #9

9 mm

500

p.353 #14

512 + (128*3.14)/3 

= 646.0 cubed cm

Surface Areas of Similar Solids

100

What is the definition of similar solids?

Similar solids are solids that have the same shape and proportional corresponding dimensions. 

200

What is the algebraic formula of surface areas of similar solids?

(a/b)²

300

p.359 #4

Yes

400

p.359 #8

25 in.

500

p.360 #10

756 m²

Volumes of Similar Solids

100

What is the algebraic formula of volumes of similar solids?

(a/b)³

200

p.359 #5

No

300

p.359 #9

b=18m

c=19.5m

h=9m

400

p.360 #12

196 mm³

500

p.360 #14

The ratio of the volumes of two similar solids is equal to the cube of the ratio of their corresponding linear measures. 

108/V = (3/5)³

108/V = 27/125

V=500 in.³