Question

A cylinder's height is 5cm longer than the radias of its base. Write a función modeling the cylinder's volume in terms of its diameter.

Answer 1

radius ---- x
height ---- x+5

V = π r^2 h
= π(x^2)(x+5) , but x = d/2
= π(d^2/4)(d/2 + 5)
= π( d^3/8 + d^2/4)
or
= (1/8)π(d^3 + 2d^2)
or
= (1/8)π d^2(d + 2)
or
....