Question

Use the formula V = ²h, where r is the radius and h is the height, to find the volume of the inside of this cylindrical pipe in terms of pi.

Answer 1

Below

Explanation:

r = 1/2 diameter = 4 x^2 y^2

Volume = pi r^2 h =

pi (4 x^2 y^2 )^2 * ( 12 x^2 y^2 ) =

16 x^4 y^4 * 12 x^2 y^2 * pi

= 192 x^(4+2) y^(4+2) pi

= 192 x^6 y^6 pi