Question

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?

Answer 1

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

Explanation:

We are given the following in the question:

Dimension of pitcher:

Height,h = 20 cm

Diameter, d = 6 cm

Radius, r =

`r = (d)/(2) = (6)/(2) = 3\text{ cm}`

Volume of pitcher = Volume of cylinder =

`V = \pir^2 h\\V = (3.14)(3)^2(20)\\V = 565.2\text{ cubic cm}`

Volume of aquarium = 4,000 cubic cm

Number of times pitcher is refilled =

`n = \frac{\text{Volume of water}}{\text{Volume of pitcher}}\\\\n = (4000)/(565.2)\\\\n = 7.0707\\n \approx 7`

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