document.write( "Question 1163173: A spherical snow ball is melting at 120cm3/min. At what rate is the surface area decreasing at when the radius is 15cm?
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Algebra.Com's Answer #787203 by dkppathak(439)![]() ![]() You can put this solution on YOUR website! A spherical snow ball is melting at 120cm3/min. At what rate is the surface area decreasing at when the radius is 15cm?\r \n" ); document.write( "\n" ); document.write( "solution \n" ); document.write( "dv/dt=120cm^3/min given \n" ); document.write( "v=4/3(πr3) \n" ); document.write( "dv/dt=4πr2 dr/dt than dr/dt=120/4πr2 \n" ); document.write( "Surface area of sphere A=4πr2 \n" ); document.write( "da/dt=A=4*2πr dr/dt=8πrdr/dt \n" ); document.write( "da/dt=8πrx120/4πr2=240/r \n" ); document.write( "putting r=15 \n" ); document.write( "da/dt=240/15=16 \n" ); document.write( "rate of change of decreasing surface are 16cm^2/min \n" ); document.write( " |