Chapter 12.7, Problem 5OE

To determine

Time t which is required to fill a pool varies inversely as the square of the radius r of the hose, use constant k as constant where needed.

Answer to Problem 5OE

  $t=k\cdot \frac{1}{r^2}$

Explanation of Solution

Given information:

Time t which is required to fill a pool varies inversely as the square of the radius r of the hose.

That is $t\prec \frac{1}{r^2}$...... $\left(1\right)$

Given k is constant.

Put k as a constant in equation 1 .

  $t=k\cdot \frac{1}{r^2}$

Thus the formula for statement is $t=k\cdot \frac{1}{r^2}$