Question

A bucket is in the form of a frustum of a cone and holda 28.490 liters of water. The radii of the top and bottom are 28cm and 21cm respectively. find the height of the bucket

Answer 1

R = 28 cm
r = 21 cm
Let height of frustum be h cm

∴ Volume held by bucket = 28.490 litres = 28490 cm³
Also,

Volume of frustum = π(R²+Rr+r²)h/3
=> 28490 = 22*(784+588+441)*h/(3*7)
=> 1813h = 28490*21/22
=> h = 27195/1813 = 15cm