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Question #3929d

1 Answer

Dec 6, 2017

$361 π u n i t s^{2}$ $361pi units^2$

Explanation:

$C i r c u m f e r e n c e = 19 π$ $Circumference=19pi$

$D i a m e t e r = \frac{C i r c u m f e r e n c e}{π} = \frac{19 π}{π} = 19$ $Diameter = (Circumference)/pi =(19pi)/pi=19$

$R a d i u s = \frac{D i a m e t e r}{2} = \frac{19}{2} = 9.5$ $Radius=(Diameter)/2=19/2=9.5$

$S u r f a c e a r e a o f s p h e r e = 4 π r^{2} = 4 π {(9.5)}^{2} = 361 π u n i t s^{2}$ $Surface area of sphere=4pir^2=4pi(9.5)^2=361pi units^2$

I gave the answer in $u n i t s^{2}$ $units^2$ because you did not provide the measuring unit of the circumference of the sphere.

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