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anonymous
 one year ago
Challenge: The distance around the middle of a sphere (the circumference) equals 37.699 in. What is the surface area of the sphere?
anonymous
 one year ago
Challenge: The distance around the middle of a sphere (the circumference) equals 37.699 in. What is the surface area of the sphere?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I got 4,464.88 in^2.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@dan815 @pooja195 @ganeshie8

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeap \(\bf \textit{surface of a sphere}=4\pi r^2\qquad r=\cfrac{37.699}{2}\qquad 4\cdot \pi \cdot \left( \cfrac{37.699}{2} \right)^2 \approx 4464.88\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\(\bf \textit{surface of a sphere}=4\pi r^2\qquad r=\cfrac{37.699}{2}\qquad \\ \quad \\ 4\cdot \pi \cdot \left( \cfrac{37.699}{2} \right)^2 \approx 4464.88\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What we did earlier was wrong

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0C = 2πr 37.699 = 2πr 37.699 / 2π = r 59.22 ≈ r The radius is approximately 59.22 inches. SA = 4π59.22^2 SA ≈ 44070.37 The surface area is approximately 44,070.37 in^2.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That's my work for my revision

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0First off, you need find r Yes

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what is correct?? XD

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0heey, @jdoe0001 , what we did earlier was wrong, we thought the circumference was the diameter and worked from there

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0while I tried to guide you, you posted the correct one, so that I just say yes.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hmmm the distance around the middle of a sphere, sounds to me like the diameter :)

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0@jdoe0001 Hey, invisible friend, no more invisible??? hahaha

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But in the question it says it's the circumference

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It's the distance AROUND, not the distance from one end to another

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0lemme be back in a bit

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@sewandowski ... hold the mayo

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the circumference is 37.699 we also know that the circumference of any circle is \(2\pi r\) thus we could say that \(\bf circumference = 37.699\qquad circumference=2\pi r\qquad thus \\ \quad \\ 37.699=2\pi r\implies {\color{brown}{ \cfrac{37.699}{2\pi } }}=r \\ \quad \\ \quad \\ \textit{surface area}=4\pi {\color{brown}{ r}}^2\to 4\pi \cdot \left( {\color{brown}{ \cfrac{37.699}{2\pi } }} \right)^2\to 4\pi \cfrac{37.699^2}{2^2\pi^2}\to \cancel{4\pi} \cfrac{37.699^2}{\cancel{4\pi}\pi }\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Heey, just finished the test, it was another answer :/

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Nevermind, thanks for the help but I need help in another problem, so I'll close this one and make another one. Thanks anyways!

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0\(r = \dfrac{37.699 ~in.}{2 \pi} = 5.99998 ~in.\) \(A = 4 \pi r^2 = 4 \times \pi \times (5.99998~in.)^2 = 452.39~in.^2\)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0@sewandowski Before you go look at this. You wrote above: C = 2πr 37.699 = 2πr 37.699 / 2π = r 59.22 ≈ r When you solve a problem, you need to do the operations, but you also need to confirm that answers make sense. If the circumference of a circle is approx. 38 in., how can the radius of the circle be 59.22 in.? It's impossible for the radius of a circle to be larger than the circumference.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0Your mistake above is this: How do you calculate \(\dfrac{37.699}{2 \pi} \) ? You can use your calculator and calculat4e first 2 * pi = 6.28 Then do 37.699/6.28 Or you can do 37.699 / 2 / pi You need to divide 37.699 by 2 and divide the result by pi, not multiply by pi like you did.
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