Question

Solve the following literal equations for the indicated variable:

(a) Solve V = x * x * r * h for x.

Answer 1

To solve the literal equation V = x * x * r * h for x, divide both sides by r and h, and then take the square root of both sides to find that x equals the square root of V divided by (r * h).

Step-by-step explanation:

To solve the literal equation V = x * x * r * h for x, we need to isolate x on one side of the equation. We begin by dividing both sides of the equation by r and h to get:

x^2 = V / (r * h)

Next, we take the square root of both sides to solve for x:

x = √(V / (r * h))

By doing these steps, we have expressed x in terms of V, r, and h, solving the given literal equation for x.