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a.
To calculate the volume of the given prism or cylinder
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 21E
113.04 unit3
Explanation of Solution
Given information:
Radius( r ) of the cylinder is 3 unit
Height( h ) of the cylindrical prism is 4 unit
Formula used:
Volume( V ) of the cylinder =
Calculation: substituting value of Radius ( r ) and Height( h ) in the formula, V
on squaring 3 answer is 9
on solving answer is,
unit3
substituting value of pi upto 2 decimal points as 3.14
Hence, the final answer is,
=113.04 unit3
b.
To calculate the volume when radius is doubled
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 21E
904.32 unit3
Explanation of Solution
Given information:
Radius( r ) of the cylindrical prism is 6 unit
Height( h ) of the cylindrical prism is 8 unit
Formula used:
Volume( V ) of the cylindrical prism =
Calculation: substituting value of Radius ( r ) and Height( h ) in the formula,
on squaring 6 answer is 36
the value of pi upto 2 decimal points is 3.14
on solving answer is,
=904.32 unit3
c.
To compare the volume of given cylinders
c.
![Check Mark](/static/check-mark.png)
Answer to Problem 21E
The volume of cylinder in part b is greater than volume of cylinder in part a
Explanation of Solution
Given information:
Volume of Cylinder 1=113.04 unit3
Volume of Cylinder 2==904.32 unit3
Formula used:
Comparing Volumes
Calculation:
As 904.32 is greater than 113.04, the volume of cylinder in part b is greater than volume of cylinder in part a.
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Pre-Algebra
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