Posted by admin | Posted in Gadgets | Posted on 15-04-2010
Tags: blogs, chewy scoop cookies, how to scoop cookie dough, ice cream scoop cookies, kitchentools, safari_export, scoops, wishlist
What is the answer to this math problem?
A scoop of Chocolate Chip Cookie Dough ice cream is placed inside a sugar cone so that exactly half of the scoop is inside the cone, and half is above the cone. The ice cream melts over time, unfortunately. If the scoops is a perfect sphere with a radius of 2 inches, and the height of the cone is 3 inches, will the ice cream overflow outside of the cone?
What is the minimum height of the cone that will make it large enough to prevent the ice cream from overflowing when it melts?
thx
you can solve this by using the volume formulas for a cone and a sphere.
the volume for the scoop is going to be 33.5 cubic inches. it is Assumed that
your cone has the same radius as the scoop. you can solve for the height
which is about 8 inches. So, at 3 inches you will have an overflow
V cone = 1/3 pi r^2 h
V sphere= 4/3 pi r^3
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