A right circular cylinder has volume 25 in3 . Express the radius of the cylinder as a function of the height.

Question

Find a formula for the described function and state its domain.

Answer 1

V =25 = pi(r^2)h

r^2 = 25/pi(h)

r = sqr(25/pi(h))

r(h) = 5/sqr[(pi)(h)] inches

domain is 0<h<infinity

or in interval form (0,infinity)

range is the same