How do you solve if there are no numbers inserted?

Question

Solve for the indicated variable:

 

A. V=1/3(3.14)²h          for h

 

B. S= a+b+c                for a

             3

Answer 1

To "solve" means to find an expression (often it is a number) that is equal to the indicated variable.  So, for example, to solve for T given D=RT, we get T=D/R.

 

A.  V= (1/3)(3.14)r²h     (note: I'm assuming volume of a cone;

               if there really isn't an r in the equation, you'll know what to do)

      (1/3)(3.14)r2h  = V     (just re-writing equation)

       (3.14)r2h  = 3V        (multiply both sides by 3)

     h = 3V/((3.14)r²)        (divide both sides by (3.14)r²

 

B.  First, get a common denominator, then move everything but 'a' term to the other side, then divide by the coefficient to get just a single 'a'.  It will be a function of S, b, and c.

 

 

Answer 2

V=¹/₃(3.14)²h

Start by multiplying both sides by 3:

3V = (3.14)²h

Then divide both sides by 3.14²:

^3V/_3.14² = h

 

S = a + b + c

We subtract both b and c from each side:

S - b - c = a