Question

Find the height of a cylinder with a volume of 220inand a radius of 3 inches. Round

your answer to the nearest hundredth.
07.78 inches
6.93 inches
5.00 inches
9.84 inches

Answer 1

0.078 inches

Step-by-step explanation:

1. The volume of a cylinder is
   `V=\pi r^(2) h`.
   `r` is the radius of the cylinder,
   `h` is the height of the cylinder, and
   `V` is the total volume.
2. We can divide both sides by
   `9\pi` to isolate the height. We now have
   `(220)/(9\pi )=h`.
3. We can plug in
   `220` for the value of
   `V`, and insert 3 as
   `r`. Now, we have
   `220 = \pi (3^2)(h)`.
4. We can simplify the right side by finding the value of
   `3^2`, which is
   `3*3`, or
   `9`. We now have
   `220 = 9\pi h`.
5. Divide both sides by
   `9\pi` so we can isolate the height! We now have
   `(220)/(9\pi )=h`.
6. It would be best to use a calculator at this point. Plug the above equation into a calculator; otherwise, replace
   `\pi` with
   `3.14` and simplify the fraction.
7. You should get about
   `07.7809...` which we can round to the nearest hundredths (since this is Geometry, I am assuming you know how to round).
8. Our final answer is
   `07.78` inches.

Hopefully this was of use!

Answer 2

`\huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}`

Given :

• volume = 220 in³
• radius = 3 in

Solution :

`\large\boxed{ \mathrm{volume = \pi {r}^(2)h }}`

• 
  `220 = (22)/(7) * 3 * 3 * h`

• 
  `(220 * 7)/(22 * 3 * 3) = h`

• 
  `(10 * 7)/(3 * 3) = h`

• 
  `h = (70)/(9)`

• 
  `\boxed{h \: = 7.78 \: \: in}`

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`\mathrm{ \#TeeNForeveR}`