Question

an inverted right circular cone has height 40 cm and diameter 30 cm the cone initially filled with water but starts to leak at a constant rate of 4cm^3/sec.at point when the height of water in the cone is 8 cm,the radius of the water surface is decreasing at the rate of? i need extended answer

Answer 1

ok ill help u

Answer 2

Volume of a cone =?

Answer 3

let me check something though... is the cone drawn like that or flipped

Answer 4

nah it is flipped

Answer 5

ok that makes more sense because then u keep maintaining the same cone shape as u lose water

Answer 6

1/3pie r^3h

Answer 7

okay so
\[V=\frac {\pi r^3h}{3}\]

Answer 8

Now if u notice the cone, by similar triangles, this ratio r/h is constant

Answer 9

yap