Question

if the radius of the circular ends of a bucket of height 40cm are 35 cm and 14 cm then find the volume of the bucket in cubic centimetre

Answer 1

Answer: as the bucket is in the form of frustum

so for frustum it is given that

height(h)=40 cm and two radius (r1)=35 cm (r2)=14 cm

now it is given that we have to find the volume of the bucket (in cm^3)

so the formula of frustum for volume = 1/3 x π x h x (r1^2 + r2^2 + r1 x r2 )

on putting the given values, we get

=> 1/3 x 22/7 x 40 x (35^2 +14^2+35 x 14)

=> 1/3 x 22/7 x 40 x (1225+196+490)

=> 1/3 x 22/7 x 40 x 1911

=> 22/7 x 40 x 637

=> 22 x 40 x 91

=> 80080 cm^3 = is the final answer