A cylindrical water tank is being filled at a rate of LaTeX: 10\:m^3\:10 m 3 per minute and is leaking at a rate of LaTeX: 3\:m^33 m 3 per minute. If the water level is changing at a rate of LaTeX: \frac{4}{\pi}4 π meters/minute when the height is at 6 meters. What is the radius of the tank?

1.323 m

Explanation:

Rate of filling =

Rate of leakage =

Net change in volume of water =

= Rate of change of height =

Volume of cylinder is given by

Differentiating with respect to time we get

The radius of the tank is 1.323 m.

- "the choice that is not an indicator of a chemical change is "state of matter changes". more common than not, chemical reactions produce energy in the form of light or heat. along with energy, they also produce a new substance called the product that could be in any state of matter (solid, gas, or liquid)."

answer:

technetium is the most reactive. this is followed by silver. the least reactive out of these three elements is strontium.