Question

A bucket is in form of of a frustum of cone . Its depth is 15 cm and diameter of top and bottom are 56 cm and 42 cm respectively . Find how many litres of water bucket can hold

Answer 1

Hloo dear...!!

height =15 cm = depth

r1 =56/2= 28

r2 =42/2=21

volume of frustum = 1/3 πh [r1²+r2²+r1r2]

now.. dear frnd see the pic for the calculation....

hope it helps

@sonu

Answer 2

The L.s.f=56/42=4/3. let x be h of smaller cone then x+15 be h of bigger cone :x+15/x=4/3, solving for X we get x=45cm. Larger cone(h) =60cm and vol of cone=1/3*pie*r2*h therefore :
(1/3*3.142*28*28*60)-(1/3*3.142*21*21*45)=49266.56-20784.33=28482.23cm3(volume of frustrum) we devide this by 1000cm3 to convert into lit results thus answer=28.48223litres.