Question 1201164
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Let r be the radius of the cylinder, and therefore the radius of the cone also.<br>
Since the height of the cone is the diameter of the cone, the height of the cone is 2r.<br>
The volume of the cylinder is {{{V=(pi)(r^2)(h)=20(pi)(r^2)}}}<br>
The volume of the cone is {{{V=(1/3)(pi)(r^2)(h)=(1/3)(pi)(2r^3)}}}<br>
The total volume is the sum of the volumes of the cylinder and cone.<br>
As suggested by the instruction to round the answer to 2 decimal places, the answer is some ugly irrational number -- use a calculator to find the radius for which the total volume is 700𝜋/3.<br>