Question

The radius and the height of a right circular cone are in the ratio 5:12 .If Its volume is 314m cube .Find the slant height and the radius

Answer 1

Let proportionality constant =x

radius =5x and height =12x

now, 
volume of cone =πr^2h/3
314=3.14(5x)^2.(12x)/3
100=25 x 4(x^3)
x=1
hence,
radius =5cm
height =12 cm
so,
slant height=√{(12)^2+(5)^2}=13cm
now,
cross section area =πr^2
=3.14 x 5 x 5 =78.5 cm^2

Answer 2

The answers are here in the picture. Sorry for the inconvenience.