Question

105=1/3 (3.14) (5)^2 h
need to solve for h

Answer 1

The value of h is 4.01269

Solution:

Given equation is:

`105 = (1)/(3) * 3.14 * (5)^2 * h`

We need to solve for "h"

Let us solve step by step

Step 1:

`\text{Expand } 5^2`

`105 = (1)/(3) * 3.14 * 5 * 5 * h`

`\text{Simplify the above }\\\\105 = (1)/(3) * 3.14 * 25 * h`

Step 2:

Simplify further

`105 = (1)/(3) * 78.5 * h`

Divide 78.5 by 3

`105 = 26.167 * h`

Move the terms to other side and keep "h" in one side of equation

`h = (105)/(26.167)\\\\h = 4.01269`

Thus the value of h is 4.01269