How do I solve for T?

PI(67.2/2)^2*T*13.6g/cm^3= 5lb*435.6g

To solve for T, we need to isolate T on one side of the equation. Let's go step-by-step.

First, rewrite the equation to make it easier to work with:
π * (67.2/2)^2 * T * 13.6 g/cm^3 = 5 lb * 435.6 g

Now, let's simplify both sides of the equation.

1. Simplify the left side:
π * (67.2/2)^2 * T * 13.6 g/cm^3 = π * (33.6)^2 * T * 13.6 g/cm^3
This becomes: T * 13.6 * π * 1128 = 5 lb * 435.6 g

2. Convert the units on the right side to the same units as the left side:
5 lb = 5 lb * (453.59 g / 1 lb) ≈ 2267.95 g
Substituting this value:
T * 13.6 * π * 1128 = 2267.95 g * 435.6 g

3. Cancel out units:
T * 13.6 * 1128 = 2267.95 * 435.6

4. Solve for T:
T = (2267.95 * 435.6) / (13.6 * 1128)

By evaluating the right side of the equation, we get:
T ≈ 64.63 g/cm^3

Therefore, T is approximately equal to 64.63 g/cm^3.