document.write( "Question 1135666: A cone and a pyramid are both 3 inches in height. If the radius of the base of the cone is 4 in and the a side of the square base of the pyramid is 2π in, which has the larger volume? \n" ); document.write( "
Algebra.Com's Answer #753315 by greenestamps(13206) You can put this solution on YOUR website! \n" ); document.write( "Cone: V = (1/3)(pi)(r^2)(h) = (1/3)(pi)(4^2)(3) = 16(pi) \n" ); document.write( "Square pyramid: V = (1/3)(B)(h) = (1/3)(2pi)^2(3) = 4(pi)^2 \n" ); document.write( "To see which is greater, divide each expression by their common factor 4(pi): \n" ); document.write( "Cone: (16(pi))/(4(pi)) = 4 \n" ); document.write( "Pyramid: 4(pi)^2/(4(pi)) = (pi) \n" ); document.write( " |