A bucket of height 8 cm and made up of copper sheet is in the form of frustum of right circular cone with radii of its lower and upper ends as 3 cm and 9 cm respectively. Calculate
i) the height of the cone of which the bucket is a part
ii) the volume of water which can be filled in the bucket
iii) the area of copper sheet required to make the bucket (Leave the answer in terms of π (Ans: 129 π cm^{2})
Ans: Let total height be h
=> h/h + 8 = 3/9 (similar Δ's )
=> h = 4 cm
∴ ht. of cone which bucket is a part = 4 cm
Substitute to get Ans.: for ii) iii)