Question

If the radius if the bucket is 44cm and 24 cm and height is 33 cm . what is it volume in liters?

Answer 1

For the frustum shaped bucket

Upper radius (R) = 44 cm

Lower radius (r) = 24 cm

Height (h) = 33 cm

Volume of bucket = vol(frustum)

vol(frustum shaped bucket)

= 1/3 π h (R² + r² + Rr)

= (1/3)(22/7)(33)(44² + 24² + 44x24)

= (22x11/7)(1936 + 576 + 1056)

= (242/7)(3568)

= 863456/7

≈ 123350.86 cm³

1L = 1000cm³

1cm³ = 1/1000 L

123350.86 cm³ = 123350.86/1000 L

vol(bucket in L) = 123.35086 L

vol(bucket in L) ≈ 123.351 L

Hence, volume of the bucket is approximately 123.351 litres