Question

Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled for the flowers to last the longest. Her cylinder vase has a radius of 2 in and a height of 9 in. How much water should Mary pour into the vase?

Answer 1

`V = \pi r^2 \cdot h= 3.1415\cdot 4\cdot 9\approx 113.1\,\, \mbox{in}^3\approx 0.49 \,\,\mbox{gallons}`

Mary should pour 0.49 gallons of water into the vase

Answer 2

0.49 gallons of water

Explanation:

We have been given that the cylinder vase has a radius of 2 in and a height of 9 in.

First of all, we will find volume of vase using volume of cylinder formula.

`\text{Volume of cylinder}=\pi r^2h`

`\text{Volume of cylinder}=\pi(2\text{ in})^2* \text{9 in}`

`\text{Volume of cylinder}=\pi*4*9\text{ in}^3`

`\text{Volume of cylinder}=113.097335\text{ in}^3`

Now, we will convert the volume of cylinder into gallons.

We know that one cubic inch equals 0.004329 gallons.

`\text{Volume of cylinder}=113.097335\text{ in}^3* \frac{\text{0.004329 Gallons}}{\text{in}^3}`

`\text{Volume of cylinder}=113.097335* \text{0.004329 Gallons}`

`\text{Volume of cylinder}=0.4895983\text{ Gallons}`

Therefore, Mary should pour approximately 0.49 gallons of water in the vase.