Answer:
Figures C and D have the same volume
Step-by-step explanation:
Part 1) Find the volume of Figure A
we know that
The volume of a cone is equal to
[tex]V=\frac{1}{3}Bh[/tex]
where
B is the area of the base
h is the height of the cone
In this problem we have
[tex]B=20\ cm^{2}[/tex]
[tex]h=5\ cm[/tex]
substitute
[tex]V=\frac{1}{3}(20)(5)=33.33\ cm^{3}[/tex]
Part 2) Find the volume of Figure B
we know that
The volume of a cylinder is equal to
[tex]V=Bh[/tex]
where
B is the area of the base
h is the height of the cylinder
In this problem we have
[tex]B=20\ cm^{2}[/tex]
[tex]h=6\ cm[/tex]
substitute
[tex]V=(20)(6)=120\ cm^{3}[/tex]
Part 3) Find the volume of Figure C
we know that
The volume of a cylinder is equal to
[tex]V=Bh[/tex]
where
B is the area of the base
h is the height of the cylinder
In this problem we have
[tex]B=20\ cm^{2}[/tex]
[tex]h=5\ cm[/tex]
substitute
[tex]V=(20)(5)=100\ cm^{3}[/tex]
Part 4) Find the volume of Figure D
we know that
The volume of a rectangular prism is equal to
[tex]V=Bh[/tex]
where
B is the area of the base
h is the height of the prism
In this problem we have
[tex]B=20\ cm^{2}[/tex]
[tex]h=5\ cm[/tex]
substitute
[tex]V=(20)(5)=100\ cm^{3}[/tex]
Part 5) Find the volume of Figure E
we know that
The volume of a pyramid is equal to
[tex]V=\frac{1}{3}Bh[/tex]
where
B is the area of the base
h is the height of the pyramid
In this problem we have
[tex]B=20\ cm^{2}[/tex]
[tex]h=10\ cm[/tex]
substitute
[tex]V=\frac{1}{3}(20)(10)=66.66\ cm^{3}[/tex]
