Question

vegetable ghee is stored in the cylindrical vessel of internal radius 1.4m height 1.5m. if it is transferred into the rectangular tin cans 33cm * 10cm*5cm how many cans are required to empty the vessel

Answer 1

5,598 cans are required to empty the vessel

Explanation:

The volume of a cylinder of radius r and height h is:

`V = \pi r^2h`

The volume of a box of dimensions X, Y, and Z is:

V=X.Y.Z

A cylinder of r=1.4 m and height h=1.5 is used to store vegetable ghee. It contains a volume of:

`V_1 = \pi 1.4^2*1.5`

`V_1=9.236\ m^3`

Converting to cubic cm:

`V_1=9.236*1,000,000\ cm^3`

`V_1=9,236,282\ cm^3`

The volume of each rectangular tin can is:

`V_2=33*10*5=1,650\ cm^3`

`V_2=1,650\ cm^3`

The number of cans required to empty the vessel is:

`V_1/V_2=9,236,282/1,650 = 5,598`

5,598 cans are required to empty the vessel