Question

A tank is in the shape of an inverted cone, having height h = 3.31 m and base radius r = 0.799 m. of water is poured into the tank at a rate of 11.8 l/s, how long will it take to fill the tank?

Answer 1

A tank is in the shape of an inverted cone, having height h = 3.31 m and base radius r = 0.799 m. of water is poured into the tank at a rate of 11.8 m/s.

It take to fill the tank

Using the similarity of triangles,

`(0.799)/(r) =(3.31)/(h) \\r=0.241h`

Volume of water tank

`V=(1)/(3) \pi r^2h\\V=(1)/(3) * 3.14* (0.241h)^2* h\\V=0.0608h^3`