Volumes of Cylinders
What is the algebraic formula for the volume of a cylinder?
V = B*h
What is the algebraic formula for the volume of a cone?
V = 1/3 *B*h
What is the algebraic formula for the volume of a sphere?
V = 4/3*3.14*r3
What is the definition of similar solids?
Similar solids are solids that have the same shape and proportional corresponding dimensions.
What is the algebraic formula of volumes of similar solids?
(a/b)3
p.338 #3
1526.8 cubed feet
p.344 #4
16.8 cubed inches
p.352 #3
523.6 cubed inches
What is the algebraic formula of surface areas of similar solids?
(a/b)2
p.359 #5
No
p.338 #10
883.6 cubed meters
p.344 #9
115.5 cubed yards
p.352 #8
11,494.0 cubed meters
p.359 #4
Yes
p.359 #9
b=18m
c=19.5m
h=9m
p.339 #13
5 feet
p.345 #15
1.5 feet
p.352 #9
9 mm
p.359 #8
25 in.
p.360 #12
196 mm3
p.338 #12
about 6032 gallons
p.344 #13
The diameter was used instead of the radius;
V=1/3*3.14*12*3
V=3.14 cubed meters
p.353 #14
512 + (128*3.14)/3
= 646.0 cubed cm
p.360 #10
756 m2
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