If the volume and curved surface area of a cylinder are 616 m³ and 352 m² respectively, what is the total surface area of the cylinder (in m²)?

Correct answer: 429

Solution

For a cylinder, curved surface area is $2\pi rh=352$ and volume is $\pi r^2h=616$. Solving gives $r=7$ m and $h=8$ m, so total surface area is $2\pi r(r+h)=2\pi\cdot7\cdot15=210\pi=429$ m².

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