Avery Lee opened a checking account with her paycheck of $437.18. The bank charges a fee of $7.75 per month plus $.50 per check if the balance is below $500. The bank also charged her $12.75 for her checks and checkbook. During the first month of the account, Miss Lee wrote checks for $23.48, $19.37, $43.82, and $12.16. If no other deposits were made, what was her balance at the end of the month?​

We know that formula for volume of cone is 1/3 πr² h where r is radius and h is height.

Now we know that r is 2 and volume is 29 so we can set up equation like this:

29 = 1/3 π (2)² h

Now we need to solve for h:

29 = 4/3 π h

Divide both sides by 4/3 π:

29 / (4/3 π) = h

87 / (4π) = h

Use calculator here

h ≈ 6.92675159

Round to nearest hundredth:

h ≈ 6.93

Final 6.93