SOLUTION: A perfectly spherical scoop of mint chocolate chip ice cream is placed in a cone, as shown in the figure. How far is the bottom of the scoop of ice cream from the bottom of the con

Question 200552This question is from textbook Intermediate Algebra An Applied Approach
: A perfectly spherical scoop of mint chocolate chip ice cream is placed in a cone, as shown in the figure. How far is the bottom of the scoop of ice cream from the bottom of the cone? Round to the nearest tenth. (Hint: A line segment from the center of the ice cream to the point at which the ice cream touches the cone is perpendicular to the edge of the cone). This question is from textbook Intermediate Algebra An Applied Approach

Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
The side of the cone is " l ",,, radius of spherical ice cream is "r",,,and height of cone is "h"
.
we do not have numbers, so you will have to finish by substituting
.
sides r-h-l make a right triangle,,,with l^2 = r^2 +h^2,,or h = sqrt( l^2-r^2)
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since ice cream is spherical, it sags into h a distance r, therefore distance from bottom of ice cream to bottom of cone is h-r,,,or sqrt(l^2-r^2) - r
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