Question

Water is pouring into a conical vessel of diameter 5.2m and slant
height 6.8m (as shown in the adjoining figure), at the rate of 1.8 m
per minute. How long will it take to fill the vessel?
unit and 96 Cu units. If on book
​

Answer 1

Answer:

Given diameter of cone =5.2 cm and slant height =6.8 cm

Then radius =2.6 cm

Then height of cone =

(6.8)

2

−(2.6)

2

=

46.24−6.76

=

39.48

=6.28cm

Then volume of cone =

3

1

×

7

22

×6.28×(2.6)

2

=

7×3

22×6.28×2.6×2.6

=44.48m

3

Given Rate of 1.8 cub meter per minute

Then time taken=

1.8

44.48

=24.71≈25 minute