Question

The surface area of a sphere is 616cm³.find its radius.

Answer 1

Answer:

r ≈ 7 cm

Step-by-step explanation:

I am a little confused, unit of surface area should be " ² "

cm³ is unit of volume!

1. If 616 cm² is surface area of a sphere, then S.A. = 4πr² ===>

r² = S.A. / 4π

r = 1/2 [√(SA / π)]

r = 1/2 [√(616÷3.14)] ≈ 7 cm

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2. If given number is volume, then V = (4/3)πr³ ===>

r³ = (3/4π)V ===> r = (3V / 4π)^(1/3)

r = (3×616 / 4×3.14)^(1/3) ≈ 5.28 cm