The radius and height of a cone are in the ratio 3 :4 what will be it's volume

Answer 1

r/h = 3/4

h=r/(3/4) = (4/3)r

h =4r/3

V=hpi(r^2)/3

V(r)= (4r/3)pi(r^2)/3 = 4r^3(pi/3)/3 = 4r^3(pi/9) = the Volume of the cone

or

r = 3h/4

V= hpi(3h/4)^2/3 = hpi(9h^2/16)/3

V(h) = 9h^3(pi/16)/3 = 3h^3(pi/16) = the Volume of the cone