document.write( "Question 388008: A vitamin tablet is 2.4 cm long and is in the shape of a cylinder with hemispheres of diameter 0.6 cm attached to both ends. Another vitamin tablet is in the shape of a cylinder of height 0.6 cm. Find:
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document.write( "a) The radius of the cylindrical tablet given that it's surface area is equal to that of the first tablet, and,
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document.write( "b) The volume of each tablet. \n" );
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Algebra.Com's Answer #275191 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! formulas that apply: \n" ); document.write( "area of a circle = pi*radius^2 \n" ); document.write( "circumference of circle = 2 *pi *radius \n" ); document.write( "area of cylinder = 2 *pi *radius *h \n" ); document.write( "area of sphere or 2 hemispheres= 4*pi*radius^2 \n" ); document.write( "volume of a sphere = 4/3 *pi*radius^3 \n" ); document.write( "volume of clinder =pi*radius^2*h \n" ); document.write( "pi = 3.14\r \n" ); document.write( "\n" ); document.write( "surface area of first tablet = surface area of cylinder + surface are of 2 hemispheres on each end \n" ); document.write( "surface area of cylinder = (2 *pi *radius *h) =2*pi*.3*2.4=4.52 \n" ); document.write( "surface area of 2 hemispheres =4*pi*radius^2 = 4*pi*.3^2=1.13\r \n" ); document.write( "\n" ); document.write( "surface area of first tablet = 4.52+1.13 = 5.65 cm^2\r \n" ); document.write( "\n" ); document.write( "a)as stated, area of second tablet =area of first tablet =2 *pi *radius *.6=5.65\r \n" ); document.write( "\n" ); document.write( "radius = 5.65/(2*pi*.6) = 1.5 cm\r \n" ); document.write( "\n" ); document.write( "b) volume of first tablet = (4/3 *pi*radius^3)+(2 *pi *radius^2 *h) \n" ); document.write( "=(4/3 *pi*.3^3)+(2*pi*.3^2*2.4)=.113+1.36 =1.47 cm^3\r \n" ); document.write( "\n" ); document.write( "volume of second tablet = pi*radius^2*h=pi*1.5^2*.6 =4.24 cm^3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ans: a) The radius of the second tablet is 1.5 cm \n" ); document.write( " b) The volume of the first tablet is 1.47 cm^3 \n" ); document.write( " The volume of the second tablet is 4.24 cm^3 \n" ); document.write( " |