A sand storage tank used by the highway department for winter storms is leaking. As the sand leaks out, it forms a conical pile. The radius of the base of the pile increases at the rate of 0.75inches per min. The height of the pile is always twice the radius of the base. Find the rate at which the volume of the pile is increasing when the radius of the base is 6

Rate of change of volume of the pile  

Explanation:

Given -

Rate of increase of the base of the pile inches per minute

Height of the pile the radius of the base

Let "h"  be the height of the pile and "r" be the radius of the base.

Then

Radius "r" inches

Rate of change of radius i.e

Volume of conical pile

Change in volume of conical pile

Substituting the value of rate of change of radius, we get -

Rate of change of volume of the pile  

step 1 ammonium can be absorbed by plants, but some is converted into nitrates which are better for plants to absorb. this is called nitrification. 2. step 2 the deer eats the plants and uses the nitrogen-containing proteins for cell growth. 3. step 3 bacteria in the soil conduct nitrogen fixation to convert nitrogen gas from the atmosphere into ammonium. 4. step 4 some of the nitrates are absorbed back into plants, but denitrification breaks down the nitrates into nitrogen gas released back into the atmosphere. 5. step 5 nitrogen is found in the urine, which gets broken down into ammonium through the process of ammonification. 6. step 6 plants absorb the ammonium and begin assimilation, the process to add the nitrogen to protein.

b.have there own function.