Question

Total surface of sphere is 98.56 cm^2. Find r

Answer 1

Let the radius of the
solid Sphere = r cm
Total Surface Area of the
Sphere = T.S.A = 4πr² ----( 1 )
According to the problem given,
T.S.A = 98.56cm² ---( 2 )
( 1 ) = ( 2 )
4πr² = 98.56
4×(22/7)×r² = 9856/100
r² = ( 9856 × 7 )/( 100 × 4 × 22 )
r² = ( 112 × 7 )/100
r = √ [ ( 4 × 4 ) × ( 7 × 7 ) ] / √( 10 × 10 )
r = ( 4 × 7) / 10
r = 28 / 10
r = 2.8 cm
Therefore,
Radius of the solid Sphere (r) = 2.8cm

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