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The volume of a spherical balloon is increased by 700%. What is the percentage increase in its surface area?
300%
400%
450%
500%
Let the volume of spherical balloon initially = V New volume after increase = V + 700*V/100 = 8V Since we know that volume of sphere is directly proportional to the radius of sphere
Final radius = 2* initial radius Since surface area of sphere is directly proportional to the square of the radius of sphere,()
Final surface area = 4*initial surface area % change = (final area - initial area) / initial area ×100 =( 4-1)/1x100 = 300%
By: Munesh Kumari ProfileResourcesReport error
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