Question

Select the correct answer from each drop-down menu. figure A: (in pic) figure B: (in pic) figure C: (in pic) figure D: (in pic) figure E: (in pic) Among these figures, figure __ and figure __ have the same volume.

Answer 1

Among these figures, figure C and figure D have the same value

Explanation:

Answer 2

Figures C and D have the same volume

Explanation:

Part 1) Find the volume of Figure A

we know that

The volume of a cone is equal to

`V=(1)/(3)Bh`

where

B is the area of the base

h is the height of the cone

In this problem we have

`B=20\ cm^(2)`

`h=5\ cm`

substitute

`V=(1)/(3)(20)(5)=33.33\ cm^(3)`

Part 2) Find the volume of Figure B

we know that

The volume of a cylinder is equal to

`V=Bh`

where

B is the area of the base

h is the height of the cylinder

In this problem we have

`B=20\ cm^(2)`

`h=6\ cm`

substitute

`V=(20)(6)=120\ cm^(3)`

Part 3) Find the volume of Figure C

we know that

The volume of a cylinder is equal to

`V=Bh`

where

B is the area of the base

h is the height of the cylinder

In this problem we have

`B=20\ cm^(2)`

`h=5\ cm`

substitute

`V=(20)(5)=100\ cm^(3)`

Part 4) Find the volume of Figure D

we know that

The volume of a rectangular prism is equal to

`V=Bh`

where

B is the area of the base

h is the height of the prism

In this problem we have

`B=20\ cm^(2)`

`h=5\ cm`

substitute

`V=(20)(5)=100\ cm^(3)`

Part 5) Find the volume of Figure E

we know that

The volume of a pyramid is equal to

`V=(1)/(3)Bh`

where

B is the area of the base

h is the height of the pyramid

In this problem we have

`B=20\ cm^(2)`

`h=10\ cm`

substitute

`V=(1)/(3)(20)(10)=66.66\ cm^(3)`