Answer :
The value of h is 4.01269
Solution:
Given equation is:
[tex]105 = \frac{1}{3} \times 3.14 \times (5)^2 \times h[/tex]
We need to solve for "h"
Let us solve step by step
Step 1:
[tex]\text{Expand } 5^2[/tex]
[tex]105 = \frac{1}{3} \times 3.14 \times 5 \times 5 \times h[/tex]
[tex]\text{Simplify the above }\\\\105 = \frac{1}{3} \times 3.14 \times 25 \times h[/tex]
Step 2:
Simplify further
[tex]105 = \frac{1}{3} \times 78.5 \times h[/tex]
Divide 78.5 by 3
[tex]105 = 26.167 \times h[/tex]
Move the terms to other side and keep "h" in one side of equation
[tex]h = \frac{105}{26.167}\\\\h = 4.01269[/tex]
Thus the value of h is 4.01269