document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=38601>Question 38601</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1592009425/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Two spheres have a radii in the ratio of 3:4. What is the ratio of their areas?\r<BR>\n" );
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document.write( "Two similar pyramids have base edges in the ratio of 3:4. What is the ratio of their volumes?\r<BR>\n" );
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document.write( "Two similar cones have a surface areas in the ratio of 16 to 25. What is the ratio of their volumes?\r<BR>\n" );
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document.write( "The measure of the angles of a triangle are in the ratio of 2: 4: 14. What is the measure of the largest angle of the triangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #24183 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=24183\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two spheres have a radii in the ratio of 3:4. What is the ratio of their areas?<BR>\n" );
document.write( "A=4PI*R^2<BR>\n" );
document.write( "HENCE AREA WILL BE IN RATIO OF SQUARE OF RADII=(3/4)^2=9/16\r<BR>\n" );
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document.write( "Two similar pyramids have base edges in the ratio of 3:4. What is the ratio of their volumes?<BR>\n" );
document.write( "VOLUME OF PYRAMID =PI*BASE AREA*H/3...SO IT IS PROPORTIONAL TO BASE AREA AND H<BR>\n" );
document.write( "WHEN PYRAMIDS ARE SIMILAR,EACH EDGE AND HEIGHT WILL BE IN PROPORTION.HENCE <BR>\n" );
document.write( "RATIO OF VOLUMES = (3/4)(3/4)(3/4)=27/64\r<BR>\n" );
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document.write( "Two similar cones have a surface areas in the ratio of 16 to 25. What is the ratio of their volumes?<BR>\n" );
document.write( "CONE AREA IS PROPORTIONAL TO PRODUCT OF RADIUS AND HEIGHT.<BR>\n" );
document.write( "IN SIMILAR PYRAMIDS RADIUS AND HEIGHT WILL BE IN PROPORTION<BR>\n" );
document.write( "HENCE IF AREAS OR IN 16/25 RATIO RADIUS/HT WILL BE IN RATIO OF SQRT(16/25)=4/5 <BR>\n" );
document.write( "VOLUME IS PROPORTIONAL TO SQUARE OF RADIUS AND HEIGHT.<BR>\n" );
document.write( "HENCE RATIO OF VOLUMES =(4/5)^2*(4/5)=64/125\r<BR>\n" );
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document.write( "The measure of the angles of a triangle are in the ratio of 2: 4: 14. What is the measure of the largest angle of the triangle?<BR>\n" );
document.write( "LET THE ANGLES BE 2X,4X,14X<BR>\n" );
document.write( "THEIR SUM =2X+4X+14X=20X=180<BR>\n" );
document.write( "X=180/20=9<BR>\n" );
document.write( "SO BIGGEST ANGLE =14*9=126 </SPAN>\n" );
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