Answer:
7536 
Step-by-step explanation:
Given that:
Rate of decreasing of radius = 12 km/sec
Height of cylinder is fixed at = 2.5 km
Radius of cylinder = 40 km
To find:
The rate of change of Volume of the cylinder?
Solution:
First of all, let us have a look at the formula for volume of a cylinder.

Where
is the radius and
is the height of cylinder.
As per question statement:
= 40 km (variable)
= 2.5 (constant)

As
are constant:

Answer:
30 feet is represented by 3 3/4 inches on the drawing
Step-by-step explanation:
We have the relation as;
1 inch = 8 feet
Thus;
3 3/4 inches = x feet
x = 3 3/4 * 8
x = 15/4 * 8
x = 30 feet
Answer:
t = 8.31 years
Step-by-step explanation:
This is compound growth with a growth rate of 5%, initial count of 600 and final count of 900.
The appropriate equation is P = Po (1 + 0.05)^t, where t represents the number of years required for the population to reach P:
900 = 600 (1.05)^t. Let's solve this for t:
Dividing both sides by 600, we get 900/600 = 1.05^5, or
1.5 = 1.05^t.
To solve for t, take the log of both sides:
ln 1.5 = t*ln 1.05, or
t = (ln 1.5) / (ln 1.05)
This evaluates to t = 8.31 years.
Answer:
Negative one
Step-by-step explanation: