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THE VOLUME OF A SPHERE IS 905 1/7 CM DETERMINE ITS DIAMETER AND ITS SURFACE AREAS

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Please find below the solution to the asked query:

Let the radius of sphere = rNow, volume of sphere = 90517 cm2 = 63367 cm2⇒43πr3 = 63367⇒43×227×r3 = 63367⇒r3 = 6336×388 = 216⇒r = 6 cm⇒Diameter=2×6=12 cmNow, surface area = 4πr2 = 4×227×62 = 31687 cm2
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  • 6
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Volume of Sphere=905 1/7
Now, Volume of Sphere=4/3π​r3
(i.e.)905 1/7=4/3*22/7*r3
   =>6336/7=4/3*22/7*r3
   =>19008=4*22*r3
   =>19008=88r3
    =>r3=216
   =>r=6 cm.

Therefore, Diameter=2r
​=2*6
=12 cm.

TSA=4πr2
=4*22/7*6*6
=452.52 cm2.
 
  • 2
Let the radius of sphere = r
now, volume of sphere = 905 1/7cm​3 = 6336/7 cm3
=> 4/3 pi r3 = 6336/7
=> 4/3 x 22/7 x r3 = 6336/7
=> r3 = 6336x3/88 = 216cm 
=> r = 6cm 

therefore, diameter = 2r = 2x6 = 12cm 

now, surface area = 4 x 22/7 x 6 x 6 = 3168/7 cm3

Hopw this answer helps you!!!
 
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