Andre has a cylindrical pitcher to use to fill his aquarium with water. The pitcher is 20 cm high and has a diameter of 6 cm. His aquarium holds about 4,000 cubic cm of water. Approximately, how many times will Andre have to fill his pitcher in order to almost fill the aquarium?

Respuesta :

Answer:

Andre have to fill his pitcher approximately 7 times in order to almost fill the aquarium.

Step-by-step explanation:

We are given the following in the question:

Dimension of pitcher:

Height,h = 20 cm

Diameter, d  = 6 cm

Radius, r =

[tex]r = \dfrac{d}{2} = \dfrac{6}{2} = 3\text{ cm}[/tex]

Volume of pitcher = Volume of cylinder =

[tex]V = \pir^2 h\\V = (3.14)(3)^2(20)\\V = 565.2\text{ cubic cm}[/tex]

Volume of aquarium = 4,000 cubic cm

Number of times pitcher is refilled =

[tex]n = \dfrac{\text{Volume of water}}{\text{Volume of pitcher}}\\\\n = \dfrac{4000}{565.2}\\\\n = 7.0707\\n \approx 7[/tex]

Thus, Andre have to fill his pitcher approximately 7 times in order to almost fill the aquarium.