If the radii of the circular ends of a conical bucket which is 45 cm high be 28 cm and 7 cm, find the capacity of the bucket.

Given,

Height of the conical bucket = 45 cm

Radii of the 2 circular ends of the conical bucket are 28 cm and 7 cm

So, r1 = 28 cm r2 = 7 cm

Volume of the conical bucket = 1/3 π(r12 + r22 + r1 r2 )h

= 1/3 π(282 + 72 + 28 × 7)45

= 15435π

= 15435 X 3.142

= 48510cm3

Therefore, the volume/ capacity of the bucket is 48510 cm3.

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