Question

1. Water is pouring into a conical vessel of diameter 5.2m and
height 6.8m (as shown in the adjoining figure), at the rate of 1.8
per meters. How long will it take to fill the vessel?​

Answer 1

Answer:

Diameter = 5.2m

Therefore, Radius = 2.6m

Slant height = 6.8m

Therefore, height = l^2 - r^2 = 46.24 - 6.67 = 39.48m^2 = 6.28m

Therefore, volume = 1/3 X 22/7 X 2.6 X 2.6 X 6.28 = 44.47m^3

time taken to fill the vessel = 44.47m^3/1.8m^3 p.m. = 25min.(approx.)

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