Elliptical Ice Cream
Blackberry ice cream costs a dollar per cubic centimeter.
You have a cone of it worth
$402.62
that has an semi-ellipsoid on top while the cone shares the same cross-section of an ellipse. The cone is tightly packed with ice cream.
You know the height of the cone only is 9 cm . The height of the semi-ellipsoid is the same as the minor axis of the cross section. The major axis is times the minor axis. What is the measure of the semi-minor axis ? Calculator required (sorry).
The answer is 4.
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1 solution
402.62=4/3pi x sqrt2 x^2 + 1/3 *pi x* sqrt2 *x where x is the semi axis in cm.