Question

what is the exact volume of the largest cone that can fit into a cube with edges of 10 inches?

Answer 1

V = pi() * R^2 * (h/3)

pi() = 3.14159 approx
R = 5 inches max (since max diameter = 10 in)
h max = 10 inches

plug and chug

V = 261.8 in^3 = 1.82 ft^3