A bucket of height 24cm is …
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Sia ? 6 years, 7 months ago
Since the circular ends of the diameter are 28 cm and 42 cm, the radii of are 14 cm and 21 cm respectively.
Capacity of the bucket {tex}= \frac { 1 } { 3 } \pi h\left( \mathrm { R } ^ { 2 } + \mathrm { r } ^ { 2 } + \mathrm { Rr } \right){/tex}
{tex}= \frac { 1 } { 3 } \times \frac { 22 } { 7 } \times 24 \left[ 14 ^ { 2 } + 21 ^ { 2 } + 14 \times 21 \right]{/tex}
{tex}= \frac { 22 } { 7 } \times 8 [ 196 + 441 + 294 ]{/tex}
{tex}= \frac { 22 } { 7 } \times 8 \times [ 196 + 441 + 294 ]{/tex}
= 23408 cm3
= 23.408 l ...(Since 1000 cm3 = 1 l)
Cost of milk at the rate of Rs.30 per litre
= 23.408{tex}\times{/tex}30
= Rs. 702.24
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