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Verified answer

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Surface Area

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What is the surface area of a sphere with diameter 15 m?

Answer

Given:

• D = 15 m

Answer & Solution:

Find the radius

[tex] \sf{R = \frac{diameter}{2} }[/tex]

[tex] \sf{R = \frac{15 \: m}{2} } \\ \\ \sf{R = 7.5 \: cm}[/tex]

Find the surface area

[tex] \sf{SA = 4 {r}^{2} } \: \\ \sf{SA = (4)(3.14)(7.5 {)}^{2} } \\ \sf{SA = (4)(3.14)(56.25)} \\ \sf{SA = (12.56)(56.25) } \\ \sf{SA = \sf{\boxed{707 \sf{{m}^{2} }}}}[/tex]

The surface area of the sphere is 707 m²

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What is surface area?

Surface area of a solid object is a measure of the total area that the surface of the object occupies

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