Question 1030348

*[illustration cone]
Volume of water at height of 10 cm = 30*pi cu.cm

let r be the radius at height 10 cm

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

30*pi = (1/3) *pi * r^2 *10

Simplify

r^2=9
r = 3 cm

(x+10)/12 = 10/3

x+10 =40

x=30 cm

Total height = 30+10 = 40cm

Volume of total cone = (1/3) pi *12^2 * 40

=6031.85 cu.cm

volume to be filled = 6031.85-30*pi

= 5937.6 cu cm