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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?

Respuesta :

remotecontrolbrain

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

Mary should pour 0.49 gallons of water into the vase

Answer:

0.49 gallons of water

Step-by-step 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.

[tex]\text{Volume of cylinder}=\pi r^2h[/tex]

[tex]\text{Volume of cylinder}=\pi(2\text{ in})^2\times \text{9 in}[/tex]

[tex]\text{Volume of cylinder}=\pi*4*9\text{ in}^3[/tex]

[tex]\text{Volume of cylinder}=113.097335\text{ in}^3[/tex]

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

We know that one cubic inch equals 0.004329 gallons.

[tex]\text{Volume of cylinder}=113.097335\text{ in}^3\times \frac{\text{0.004329 Gallons}}{\text{in}^3}[/tex]

[tex]\text{Volume of cylinder}=113.097335\times \text{0.004329 Gallons}[/tex]

[tex]\text{Volume of cylinder}=0.4895983\text{ Gallons}[/tex]

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