Respuesta :

Given that the volume is 3680 cm³, find radius:

[tex]\text { Formula for volume of a sphere =} \dfrac{4}{3} \pi r^3[/tex]

[tex]\dfrac{4}{3} \pi r^3 = 3680 [/tex]

[tex] r^3 = 3680 \div \dfrac{4 \pi }{3} [/tex]

[tex] r^3 = 3680 \times \dfrac{3}{4 \pi } [/tex]

[tex] r^3 = \dfrac{2760}{\pi } [/tex]

[tex]r = 9.58 \text { cm (Nearest hundredth)}[/tex]

With radius, find surface area:

[tex]\text {Surface area = } 4 \pi r^{2} [/tex]

[tex]\text {Surface area = } 4 \pi (9.58)^{2} [/tex]

[tex]\text {Surface area = } 1153.30 \text { cm (Nearest hundredth)}[/tex]

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