document.write( "Question 1205006: The volume of a frustum of a cone of height h is given by the formula
\n" ); document.write( " V = ⅓πh(R² + Rr + r²)
\n" ); document.write( "Where R and r are the radii of its circular ends.
\n" ); document.write( " Hollow metal hemispheres of internal and external diameters 12.5cm and 17.5cm respectively, are to be cast from molten contents of a ladle in the shape of a frustum of a cone of depth 1.2m and radii of ends 0.6m and 0.635m. Calculate the number of hemispheres that can be cast. \n" ); document.write( "
Algebra.Com's Answer #841619 by ikleyn(52858)\"\" \"About 
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\n" ); document.write( "The volume of a frustum of a cone of height h is given by the formula
\n" ); document.write( "V = ⅓πh(R² + Rr + r²)
\n" ); document.write( "Where R and r are the radii of its circular ends.
\n" ); document.write( "Hollow metal hemispheres of internal and external diameters 12.5cm and 17.5cm respectively,
\n" ); document.write( "are to be cast from molten contents of a ladle in the shape of a frustum of a cone
\n" ); document.write( "of depth 1.2m and radii of ends 0.6m and 0.635m. Calculate the number of hemispheres that can be cast.
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document.write( "The volume of the hollow hemisphere is  \"%281%2F2%29%2A%284%2F3%29%2A3.14159265%2A%28%2817.5%2F2%29%5E3-%2812.5%2F2%29%5E3%29\" = 891.754 cm^3 (rounded).\r\n" );
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document.write( "The volume of the frustum is  \"%281%2F3%29%2A3.14159265%2A120%2A%2860%5E2+%2B+60%2A63.5+%2B+63.5%5E2%29\" = 1437875.54  cm^3 (rounded).\r\n" );
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document.write( "The number of hemispheres is an integer number closest from the bottom to the ratio\r\n" );
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document.write( "    \"1437875.54%2F891.754\" = 1612.413.\r\n" );
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document.write( "ANSWER.  1612 hemispheres.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "Honestly, I don't know, for what reason there is a need to write more about these mechanical calculations.\r
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