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PLEASE HELP!!! A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 2 cubic centimeters. Find the radius r (in cm) and height h (in cm) of the cylinder that produces the minimum surface area. (Round your answer to three decimal places.)

Sagot :

This equation is quite complex, so solving it numerically or using a calculator is a good approach. After solving, we get:

\[ r \approx 0.620 \, \text{cm} \]

Now, substitute \( r \) back into the equation for \( h \):

\[ h = \frac{2}{\pi (0.620)^2} - \frac{4}{3} (0.620) \]

\[ h \approx 1.290

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