Answer:
2304 pi is one answer.
7238.2 is another. Depends on what you have been given
Step-by-step explanation:
Givens
V(r) = (4/3) pi r^3
P(t) = V(3t)
Step One
Find the general equation for P(t)
V(3t) = (4/3) pi r^3 put 3t in for r
V(3t) = (4/3) pi (3t)^3 Show substitution
V(3t) = (4/3) pi 27 t^3 Cube the brackets
p(t) = (4/3) pi 27 t^3
Step Two
Find p(4)
p(4) = (4/3) pi 27 (4)^3 Substitute
p(4) = 4/3 PI 27 * 64 Cube the result
P(4) = 256 Pi * 27 / 3 Divide by 3
P(4) = 256 Pi * 9
p(4) = 2304 * pi Combine factors on the right.
What you do next depends on what answers you have been given. The answer above is one possible answer.
p(4) = 2304 * 3.14 is another
p(4) = 7238.2
