Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Water flows into a vertical cylindrical tank at the rate of 24 cubic ft per minute. If the radius of the tank is 4 ft, how fast is the surface rising?​

Sagot :

given:

per min= 24 cubic ft

radius= 4 ft

to find:

how fast the surface rises.

solution:

[tex]area = \pi {r}^{2} [/tex]

[tex]a = \pi \times {4}^{2} [/tex]

[tex]a = 50.24 \: {ft}^{2} [/tex]

[tex]v = 24 \: {ft}^{3} [/tex]

[tex] = \frac{24}{50.24} [/tex]

[tex] = 0.48[/tex]

therefore, the rising in the surface area is 0.48 feet per minute.

24 / 50.24 = 0.48 feet per minute

so the answer to your question is 0.48 feet per minute.

hope this helps you