Question

Solve each formula for the indicated variable.

1. Volume of a cone: solve for h
V=πr²h/3

2. Temperature formula: solve for C
F=9/5C+32

Answer 1

To solve for the indicated variables, isolate them in the equations. h = (3V) / (πr²) for the volume of a cone and C = (5/9)(F - 32) for the temperature formula.

Step-by-step explanation:

To solve the formula for the volume of a cone and the temperature formula, we need to isolate the indicated variables.

1. Volume of a cone: solve for h
   V = (πr²h) / 3
   Multiply both sides of the equation by 3:
   3V = πr²h
   Divide both sides by πr²:
   h = (3V) / (πr²)
2. Temperature formula: solve for C
   F = (9/5)C + 32
   Subtract 32 from both sides of the equation:
   F - 32 = (9/5)C
   Multiply both sides by 5/9:
   (5/9)(F - 32) = C
   C = (5/9)(F - 32)