document.write( "Question 1177846: The surface area of a solid clay hemisphere is 10cm^2.
\n" );
document.write( "A larger solid clay hemisphere has a surface area of
\n" );
document.write( "40cm^2. If the larger hemisphere weighs 2 pounds,
\n" );
document.write( "how many pounds does the smaller one weigh? \n" );
document.write( "
Algebra.Com's Answer #806971 by ikleyn(52800)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The solution and the answer in the post by @MathLover1 are both ABSOLUTELY WRONG.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " I came to bring a correct solution.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "The ratio of the surface areas of the two solid hemispheres is 4, according to the condition.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It means that the the ratio of their linear dimensions is 2 (larger to smaller).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Hence, the ratio of their volumes is 8.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Since the material they are made is the same, the ratio of the masses (weights) is 8.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The smaller hemisphere weight is\r \n" ); document.write( "\n" ); document.write( "Solved (correctly).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For your safety, ignore the post by @MathLover1.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "////////////\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Looking into her activity in last several days, I start thinking that\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "@MathLover1 presents a real danger for any visitor to this forum, because she provides wrong solutions even to simplest Math problems.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "See my notes to her posts in past two days\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1177850.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Volume/Volume.faq.question.1177847.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Surface-area/Surface-area.faq.question.1177846.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Triangles/Triangles.faq.question.1177800.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Triangles/Triangles.faq.question.1177804.html\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |