A can of beans has surface area 332 cm squared. Its height is 10 cm. What is the radius of the circular top? (Hint: The surface area consists of the circular top and bottom and a rectangle that represents the side cut open vertically and unrolled.)

[tex]2\pi r(r + h) = 332\\2\pi r(r + 10) = 332\\\\r^2 + 10r = \dfrac{332}{2\pi}\\\\r^2 + 10r - 52.82 = 0\\\text{Using quadratic formula}\\\\r = \dfrac{-10\pm \sqrt{100 - 4(-52.82)}}{2}\\\\r = -13.82, 3.82[/tex]

Since, the radius cannot be negative.

The radius of can is approximately 3.82 cm.

A can of beans has surface area 332 cm squared. Its height is 10 cm. What is the radius of the circular​ top? (Hint: The surface area consists of the circular top and bottom and a rectangle that represents the side cut open vertically and​ unrolled.)

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A can of beans has surface area 332 cm squared. Its height is 10 cm. What is the radius of the circular top? (Hint: The surface area consists of the circular top and bottom and a rectangle that represents the side cut open vertically and unrolled.)