document.write( "Question 1208875: A bowl with radius 30 cm , shaped like a hemisphere, is filled with water to two-thirds its depth. What is the surface area of the water, in cm²? \n" ); document.write( "

Algebra.Com's Answer #847375 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A bowl with radius 30 cm , shaped like a hemisphere, is filled with water
\n" ); document.write( "to two-thirds its depth. What is the surface area of the water, in cm²?
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document.write( "The total depth of the bowl is the radius of 30 cm (given).\r\n" );
document.write( "Two-thirds of the total depth is 2/3 of 30 cm, i.e. 20 cm.\r\n" );
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document.write( "Hence, 10 cm is over the water surface.\r\n" );
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document.write( "Thus the square of the radius of the water surface in the bowl is (from Pythagoras)\r\n" );
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document.write( "    r^2 = 30^2 - 10^2 = 900 - 100 = 800 cm^2\r\n" );
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document.write( "Hence, the surface area of the water in the bowl is\r\n" );
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document.write( "     =  = 2513.27412 cm^2,  or  2513.27  cm^2  (rounded).    ANSWER\r\n" );
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