Question

The surface area of a sphere is (576π)cm^2.Find it's volume.

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Answer 1

Answer:

solve this by yourself

Step-by-step explanation:

• surface area of sphere = 4πsquare of radius
• volume of sphere= 4/3cube of radius
• now put the values and u will get your answer.

Answer 2

surface area of sphere

formula: 4πr^2

Volume of sphere

formula: 4/3 πr^3

given:

4πr^2 = 576π ________(1)

=) 4r^2 = 576

=) r^2 = 576/4

=) r^2 = 144

=) r = √144

=) r = 12 ( -12 can't be

possible

therefore

radius=12cm

V= 4/3 πr^3 _____(2)

sub. the value of radius & (1) in (2)

=) 4/3 πr^3 = 576π * r /3

=) 4/3 πr^3 = 576π*12/3

=) 4/3 πr^3 = 576π *4

=) 4/3 πr^3 = 2304 cm^3

Therefore,

V = 2304 cm^3