the volume of a cone is given by V=1/3(pi)(r^2)h. Rewrite and simplify the volume formula given that

Question

a) h=3r

b) r=6h

Answer 1

V= (1/3)pi(r^2)h, h=3r

= (1/3)pi(r^2)(3r)

= pi(r^3)

r=6h

V= (1/3)pi(36h^2)h

= 12pi(h^3)