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The volume of the cylinder is 18,136.64 cubic feet. what is the height? use pie and round your answers to the nearest hundredth.

The volume of the cylinder is 18,136.64 cubic feet. what is the height? use pie and-example-1
User BobRun
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1 Answer

7 votes

Question:

Solution:

The volume of a cylinder is given by the formula:


V\text{ =}\pi\text{r}^2h

where r and h are the radius and height of the cylinder, respectively. Now, replacing the data of the problem into the previous equation, we obtain:


18136.64\text{ =(3.14)}19^2h

this is equivalent to:


18136.64\text{ =(3.14)(361)}^{}h

this is equivalent to:


18136.64\text{ =1133.54}^{}h

solving for h, we obtain:


h\text{ = }(18136.64)/(1133.54)\text{ = 16}

then, we can conclude that the correct answer is:


h\text{ = 16}

The volume of the cylinder is 18,136.64 cubic feet. what is the height? use pie and-example-1
User Tomekia
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4.3k points