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 consis

Question

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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Charlie 2 weeks 2022-01-12T07:07:13+00:00 1 Answer 0 views 0

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    2022-01-12T07:09:11+00:00

    Answer:

    The radius of can is approximately 3.82 cm.

    Step-by-step explanation:

    We are given the following in the question:

    Surface area of can = 332 square cm

    Height of can = 10 cm

    We have to find the radius of circular top.

    Formula:

    Surface area of can = Surface area of cylinder

    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

    Since, the radius cannot be negative.

    The radius of can is approximately 3.82 cm.

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