we know that [volume of a cone]=pi*r²*h/3 r=14/2-----> r=7 in slant height l=2 1/2 ft--------> l=2.5 ft convert the slant height to in 1 ft-------> 12 in 2.5 ft-----> X X=2.5*12------> X=30 in l=30 in
the height of the cone is determined by using Pythagoras, since the cross section is a right triangle l²=h²+r²--------> h²=l²-r²------> h²=30²-7²-----> h²=851 h=√851--------> h=29.17 in
[volume of a cone]=pi*r²*h/3------> pi*7²*29.17/3-----> 1496.13 in³ if the volume of a cone is 87% full then 0.87*1496.13----------> 1301.63 in³
the answer is the volume of a cone that is 87% full is 1301.63 in³
