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A bucket is made up of …

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A bucket is made up of metal sheet in the form of frustum of a cone of height is 16 cm with radii of lower and upper end is 8cm and 20cm respectivly. Find the cost of metal sheet used is Rs.15/100.
  • 1 answers

Sia ? 4 years, 10 months ago

R = 20 cm, r = 8 cm and h = 16 cm
{tex}\therefore l = \sqrt { h ^ { 2 } + ( R - r ) ^ { 2 } } = \sqrt { ( 16 ) ^ { 2 } + ( 20 - 8 ) ^ { 2 } }{/tex}
{tex}= \sqrt { 256 + 144 } \mathrm { cm } = 20 \mathrm { cm }{/tex}
Total surface area of container = {tex}\pi l(R + r) + \pi {r^2}{/tex}
= [3.14{tex}\times{/tex}20{tex}\times{/tex}(20 + 8) + 3.14 {tex}\times{/tex}8{tex}\times{/tex}8] cm2
= (3.14{tex}\times{/tex}20{tex}\times{/tex}28+3.14{tex}\times{/tex}8{tex}\times{/tex}8)cm2
= (1758.4 + 200.96) cm2
= 1959.36 cm2
Cost of metal sheet used = {tex}\operatorname { Rs } \left( 1959.36 \times \frac { 15 } { 100 } \right) = R s .293 .90{/tex}

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