A bucket full of water is 40cm in diameter in the open-end 24cm in diameter at the bottom end and 32cm deep. The bucket is then emptied completely into a cylindrical drum of 56cm in diameter.
Find the level of water in the drum to the nearest whole number (take π=22/7)
Bucket full of water is in the shape of frustum.
Voume=22/7H(R^2+Rr+r^2)
=(22/7×32)(40^2+40×24+24^2)
=(22/7×32)1600+960+576)
=(22/7×32)(3136)
22/7×32×3136 cubic cm
Therefore,
Volume of drum=22/7×32× 3136 cubic cm
That is, 22/7×56×56×h=22/7×32×3136
h=(32×3136)/(56×56)
=10.67 cm
⅓π(784•32)÷26²π
=25088÷(3×676)
=12 cm