Volume of a wedge-AMC 8 2008 problem 21
Source:
July 22, 2011
rotationgeometryrectangle
Problem Statement
Jerry cuts a wedge from a -cm cylinder of bologna as shown by the dashed curve. Which answer choice is closest to the volume of his wedge in cubic centimeters?
[asy]
defaultpen(linewidth(0.65));
real d=90-63.43494882;
draw(ellipse((origin), 2, 4));
fill((0,4)--(0,-4)--(-8,-4)--(-8,4)--cycle, white);
draw(ellipse((-4,0), 2, 4));
draw((0,4)--(-4,4));
draw((0,-4)--(-4,-4));
draw(shift(-2,0)*rotate(-d-5)*ellipse(origin, 1.82, 4.56), linetype("10 10"));
draw((-4,4)--(-8,4), dashed);
draw((-4,-4)--(-8,-4), dashed);
draw((-4,4.3)--(-4,5));
draw((0,4.3)--(0,5));
draw((-7,4)--(-7,-4), Arrows(5));
draw((-4,4.7)--(0,4.7), Arrows(5));
label(" cm", (-7,0), W);
label(" cm", (-2,4.7), N);[/asy]