Question

A cylinder vase has a height of 10 inches and a diameter of 3 inches. If the water raises to 9/10 of the way, approximately how much water, in cubic inches, is in the vase? Use the pi symbol on your calculator and round to the nearest cubic inch.

Answer 1

`64cubic \:inch \text{(to the nearest cubic inch.)}`

Explanation:

Height of the Cylinder=10 Inches

Diameter of the Cylinder =3 inches

• Radius=Diameter/2=3/2=1.5 Inches

Volume of a Cylinder
`=\pi r^2h`

Since the water in the vase raises to 9/10 of the way:

Volume of Water in the Vase

`=(9)/(10) \pi r^2h\\=(9)/(10) *\pi *1.5^2*10\\=63.6 cubic \:inch\\\approx 64cubic \:inch \text{(to the nearest cubic inch.)}`