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Container, opened from the top and made up of a metal sheet, is in the form of arustun of a cone of height 16cm with radii of its lower and upper ends as 8 cm and20 cm, respectively. Find the cost of the milk which can completely fill the container,at the rate of 40 per litre. Also find the cost of metal sheet used to make thecontainer, if it costs 8 per 100 sq cm (take = 3.14)duct an activity as done in the previous section. Take a |
| Answer» <html><body><p> </p><p>For frustum of a cone,</p><p>h= 16 cm</p><p>R= 20 cm</p><p>r= 8 cm</p><p></p><p>l= √h2 + (R-r)2</p><p> = √16^2 + (20-8)^2</p><p> = √256 + 12^2</p><p> = √256 + 144</p><p>l= √400</p><p>l= 20 cm</p><p></p><p>Area of metal sheet = CSA of frustum + Area of <a href="https://interviewquestions.tuteehub.com/tag/base-892693" style="font-weight:bold;" target="_blank" title="Click to know more about BASE">BASE</a></p><p>= π×l(R+r)</p><p>=3.14 × 20 (20+8)</p><p>=3.14 × 20 × 28</p><p>=3.14 × 616</p><p>=1934.24 cm2</p><p>Cost of metal sheet = 8/100 × 1934.24</p><p> = Rs. 154.7392</p><p></p><p>Volume of frustum = 1/3 × πh(R2 + r2 +Rr)</p><p>= 1/3 ×3.14×16(20^2 + 8^2 + 20×8)</p><p>= 1/3 × 50.24(400 + 64 + 160)</p><p>= 1/3 × 50.24 × <a href="https://interviewquestions.tuteehub.com/tag/624-1908697" style="font-weight:bold;" target="_blank" title="Click to know more about 624">624</a></p><p>= 1/3 × 31349.76</p><p>= 10449.92 cm3</p><p>= 10449.92/1000</p><p>= 10.44992 litre</p><p></p><p>Cost of <a href="https://interviewquestions.tuteehub.com/tag/milk-1096640" style="font-weight:bold;" target="_blank" title="Click to know more about MILK">MILK</a> = <a href="https://interviewquestions.tuteehub.com/tag/40-314386" style="font-weight:bold;" target="_blank" title="Click to know more about 40">40</a> × 10.44992</p><p> = Rs. 417996.8</p><p></p><p>Please <a href="https://interviewquestions.tuteehub.com/tag/mark-555248" style="font-weight:bold;" target="_blank" title="Click to know more about MARK">MARK</a> it as Brainliest.</p><p></p></body></html> | |