Question

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. 

Answer 1

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

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