document.write( "Question 1082911: A spherical snowball is melting in such a way that its surface area decreases at the rate of 1 in^3/min. How fast is its radius shrinking when it is 3 inches? Answer must be in in^3/min. \n" ); document.write( "

Algebra.Com's Answer #700546 by Fombitz(32388) $\"\"$ $\"About$

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Start with the surface area of a sphere,
\n" ); document.write( " $\"A=4pi%2AR%5E2\"$
\n" ); document.write( "Differentiate with respect to time,
\n" ); document.write( " $\"dA%2Fdt=%284pi%292R%2A%28dR%2Fdt%29\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"1=%284pi%29%282%283%29%29%28dR%2Fdt%29\"$
\n" ); document.write( " $\"dR%2Fdt=1%2F%2824pi%29\"$ $\"in%2Fs\"$
\n" ); document.write( "The units of the change of radius are inches per second.
\n" ); document.write( "The volume change is in units of cubic inches/second.
\n" ); document.write( " \n" ); document.write( "

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