document.write( "Question 1040485: A frustum of a solid cone has height 30cm,radius 10cm and 15cm.Determine the:
\n" ); document.write( "(i) height of original cone
\n" ); document.write( "(ii) volume of the frustum
\n" ); document.write( "(iii) total surface area of the frustum
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Algebra.Com's Answer #655388 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
VOLUME: \"%281%2F3%29pi%2Ah%28R%5E2%2BrR%2Br%5E2%29\", if r is the small radius and R is the large radius.\r
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\n" ); document.write( "\n" ); document.write( "HEIGHT of ORIGINAL CONE: Imagine a cross section through the center axis. Orient this cross section so that the short base is along x-axis and long base is parallel to but above the x-axis. Position this on cartesian system so that the slanted side segment is in quadrant 1, and center is at x=0. The graph of the endpoints for the slanted segment is the two points, (10,0) and (15,30).\r
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\n" ); document.write( "\n" ); document.write( "What is the equation for the line containing those two point? What is the y-axis intercept?
\n" ); document.write( "..... Do you see how to finish finding the height of the original cone?
\n" ); document.write( "(You really do not need to make the graph. Doing it might help to visualize the process.)\r
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\n" ); document.write( "\n" ); document.write( "SURFACE AREA:
\n" ); document.write( "Formula is \"pi%28R%5B1%5D%2BR%5B2%5D%29sqrt%28%28R%5B1%5D-R%5B2%5D%29%5E2%2Bh%5E2%29\"
\n" ); document.write( "(Found in wikipedia)
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