A chemical company needs a new open-top cylindrical tank to store a chemical solution. The tank must have a volume of 50 m350~\text{m}^3. To minimize the material cost, the surface area of the tank (including the base but not the top) should be minimized. What should be the radius and height of the tank in meters?

Radius: 50π3 m\sqrt[3]{\frac{50}{\pi}}~\text{m}Height: 50π3 m\sqrt[3]{\frac{50}{\pi}}~\text{m}

Radius: 50π3 m\sqrt[3]{\frac{50}{\pi}}~\text{m} Height: 250π3 m2\sqrt[3]{\frac{50}{\pi}}~\text{m}

Radius: 25π3 m\sqrt[3]{25\pi}~\text{m}Height: 25π3 m\sqrt[3]{25\pi}~\text{m}

Radius: 25π3 m\sqrt[3]{25\pi}~\text{m}Height: 50π3 m\sqrt[3]{\frac{50}{\pi}}~\text{m}

A chemical company needs a new open-top cylindrical tank to store...

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