Write an equation for P

Question

A certain geometric figure has a volume, P, varies jointly with the square of b and d. The constant of proportionality is . Write an equation for P.

Answer 1

P = pi(b+d)^2

or

but more likely you meant

P = pi(bd)^2 = pi(b^2)(d^2)

the "and" between "b and d" is ambiguous. Odds are you meant the 2nd interpretation. You likely would have used "plus" instead of "and" if you meant the sum of b and d.