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  • 01-06-2020
  • Mathematics
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What is the volume of a cylinder with base radius 4 and height 5?
Either enter an exact answer in terms of m or use 3.14 for t and enter your answer as a decimal.

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  • 01-06-2020

Answer:

251.2 units³ ; 80π units³

Step-by-step explanation:

Volume of a Cylinder is: [tex]V=\pi r^2 h[/tex]

'r' is the radius.

'h' is he height.  

The cylinder has a base radius of 4 units and the height 5 units.

Using 3.14 for Pi:

[tex]V=3.14*4^2*5\\V=3.14*16*5\\V= 50.24 * 5\\\boxed {V=251.2}[/tex]

The approximate volume is 251.2 units³.

In terms of pi:

[tex]V=\pi 4^2*5\\\rightarrow 4^2=16\\V=\pi 16*5\\V=\pi 80\\\boxed {V=80\pi}[/tex]

The exact volume is 80π units³.

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