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.

Respuesta :

Answer:

[tex]64cubic \:inch \text{(to the nearest cubic inch.)}[/tex]

Step-by-step 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 [tex]=\pi r^2h[/tex]

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

Volume of Water in the Vase

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