Question

The area of the largest sphere that can be drawn inside a square of side 18 cm is

Answer 1

Given, side of square = 18cm

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Find the radius:
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since , the sphere is inscribed in a square .

.
then,

diameter of sphere = side of square

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2r = 18 cm

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r = 9 cm

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radius of sphere = 9 cm

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Find the area:
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area of the largest sphere = 4πr^2

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= 4 ×π × ( 9 )^2

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= 324π = (324 × 22 ) / 7

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= 1018.28 cm^2

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Answer:
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area of the largest sphere

= 1018.28cm^2
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