Question

Water is pouring into conical vessel of diameter 5.2 and slant height 6.8,at the rate of 1.8mcube per minute how long will it take to fill the vessel

Answer 1

hai here is Ur ans

given d=5.2

then r = d/2 =5.2/2=2.6
r =2.6

given slant height = 6.8m

=>l^2=r^2+h^2

=>6.8^2=2.6^2+h^2

=>46.24 = 6.76 + h^2

=>h^2= 6.76-46.24

=>h^2= 39.48m^2

=>h=√39.48m^2

=>h=6.28m

=>now volume:- 1/3 πr^2h

=>1/3 × 22/7×2.6×2.6× 6.28

=>1/3 × 22/7 × 6.76×6.28

=>1/3 × 22/7 × 42.45

=>1/3× 22× 6.064

=> 22/3×6.064

=>44.4

time taken to fill the
vessel = 44.4m^3/1.8^3

=>[24.6]

(approximately)