Question

Water is pouring into a conical vessel of diameter 5.2 and slant height 6.8m,at the rate of 1.8m³/minute. how long will it take to fill the vessel?

Answer 1

This is correct or not? If it is correct plz mark it as brainliest

Answer 2

Given diameter = 5.2.Then the Radius will be r = d/2 = 5.6/2 = 2.6.

Given slant height = 6.8m. 

h = l^2 - r^2

   = (6.8)^2 - (2.6)^2

   = 46.24 - 6.7

   = 39.54 m^2

   = 6.29 m.


Volume v = 1/3 pir^2h

                = 1/3 * 22/7 * (2.6)^2 * (6.29)

                = 1/3 * 22/7 * 6.76 * 6.29

                = 1/3 * 22/7 * 42.52

                = 1/3 * 22 * 6.074

               = 44.5.


Time taken to fill the vessel = 44.5 m^3/1.8 m^3

                                               = 24.7

                                               = ~25 minutes.


Hope this helps!