Sand is poured onto a surface at 13 cm3/sec, forming a conical pile whose base diameter is always equal to its altitude. how fast is the altitude of the pile increasing when the pile is 1 cm high? note that the volume of a cone is 13πr2h where r is the radius of the base and h is the height of the cone.

Altitude of the pile will increase by 16.56 cm per second.

Step-by-step explanation:

Sand is poured onto a surface at the rate = 13 cm³ per second

Or

It forms a conical pile with a diameter d cm and height of the pile = h cm

Here d = h

Volume of the pile cm³per sec.

Since h = d = 2r [r is the radius of the circular base]

r =

Since cm³per sec.

13 = [For h = 1 cm]

cm per second.

Therefore, altitude of the pile will increase by 16.56 cm per second.

the above table 1 will calculate the population size (n) after a certain length of time (t). all you need to do is plug in the initial population number (no), the growth rate (r) and the length of time (t). the constant (e) is already entered into the equation. it stands for the base of the natural logarithms (approximately 2.71828). growth rate (r) and time (t) must be expressed in the same unit of time, such as years, days, hours or minutes. for humans, population growth rate is based on one year. if a population of people grew from 1000 to 1040 in one year, then the percent increase or annual growth rate is 40/1000 x 100 = 4 percent.

step-by-step explanation: