(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A cylinder of height 45mm and radius 12mm is placed inside a circular cone.

What are the dimensions of the cone with the smallest volume to enclose this cylinder

2. Relevant equations

v=1/3(pi)r^2h

v=(pi)r^2h

SA=2(pi)rh

3. The attempt at a solution

I substuted values into the cylinder equation and got 20,357mm^2 volume of cylinder and made an equation in terms of h and substitued into the cone formula but answer didnt work out.

Final answer is r=18 and h=135

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# Dimensions of cone with smallest volume that can hold a cylinder

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