document.write( "Question 1037863: A sector of a circle 7cm subtending an angle 210 at the centre of the circle, is used to form a cone. calculate to the nearest whole number, the base radius of a cone?, height of the cone?, total surface area of a cone?, volume of the cone and vertical angle of the cone \n" ); document.write( "
Algebra.Com's Answer #652565 by josgarithmetic(39618)\"\" \"About 
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The 7 cm sector is from part of a circumference, so \"7%2Fc=210%2F360\" to get to the full circumference if it were.\r
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\n" ); document.write( "\n" ); document.write( "\"c%2F7=36%2F21\"
\n" ); document.write( "\"c%2F7=3%2A18%2F%283%2A7%29\"
\n" ); document.write( "\"c=7%2818%2F7%29\"
\n" ); document.write( "\"c=18\"
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\n" ); document.write( "What is the radius for this sector?
\n" ); document.write( "If x is the radius, then based on the completed circle,
\n" ); document.write( "\"2pi%2Ax=18\"
\n" ); document.write( "\"x=18%2F%282pi%29\"
\n" ); document.write( "\"highlight%28x=9%2Fpi%29\"--------the sector's radius*.\r
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\n" ); document.write( "\n" ); document.write( "Once the unattached sector sides are attached, the circumference of the cone becomes the 7 cm length, so \"2pi%2Ar=7\";
\n" ); document.write( "\"highlight%28r=7%2F%282pi%29%29\"-----base radius of the cone.\r
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\n" ); document.write( "\n" ); document.write( "* What was the sector's radius becomes the slant height of the cone when formed. Imagine a cross section right triangle formed in making the cone. The cone height will be \"h%5E2%2B%287%2F%282pi%29%29%5E2=%289%2Fpi%29%5E2\".
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\n" ); document.write( "\"h%5E2=%2881%2Fpi%5E2%29-%2849%2F%284%28pi%29%5E2%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"h%5E2=%281%2Fpi%29%5E2%2881-49%2F4%29\"\r
\n" ); document.write( "\n" ); document.write( "\"h%5E2=%281%2Fpi%29%5E2%28324%2F4-49%2F4%29\"\r
\n" ); document.write( "\n" ); document.write( "\"h%5E2=%281%2Fpi%29%5E2%28275%2F4%29\"\r
\n" ); document.write( "\n" ); document.write( "\"h=sqrt%28275%29%2F%282pi%29\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28h=5%2Asqrt%2811%29%2F%282pi%29%29\"------How tall the cone\r
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\n" ); document.write( "\n" ); document.write( "You can do the rest.
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