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.