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Umnica [9.8K]
3 years ago
13

The volume of a cylinder is given by the formula v =

title="\pi r^{2} h" alt="\pi r^{2} h" align="absmiddle" class="latex-formula">. Find the height h if the volume is 35 cubic feet, the radius is and 7/22 and\pi is 22/7.
Mathematics
1 answer:
pashok25 [27]3 years ago
3 0

Answer:

<h2>height = 110 feet </h2>

Step-by-step explanation:

From the question

Volume of the cylinder is given by

<h3>v = \pi  {r}^{2} h</h3>

To find the height first make h the subject

That's divide both sides by πr²

We have

<h3>h =  \frac{v}{\pi  {r}^{2} }</h3>

From the question

v = 35 ft³

r = 7 / 22

π = 22/7

Substitute the values into the above formula and solve for the height

That's

<h3>h = \frac{35}{ \frac{22}{7} \times  ({ \frac{7}{22} })^{2}  }  \\  =   \frac{35}{ \frac{22}{7} \times  \frac{49}{484}  }  \\  =  \frac{35}{ \frac{7}{22} }  \\  \ = 35 \div  \frac{7}{22}  \\  = 35 \times  \frac{22}{7}  \\  = 5  \times 22</h3>

We have the final answer as

<h3>110 feet</h3>

Hope this helps you

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