# Find the percentage decrease in the csa of a sphere , if it's diameter is decreased by 25%

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by Angelkajal

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by Angelkajal

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The Brainliest Answer!

then radius =x

c.s.a=4×pi×r^2

decreased diameter of sphere=2x-25% of 2x

=2×-x/2=3/2x

decreased radius=3/4x

so,decreased c.s.a=

4×pi(3/4x)^2

=9/4×pi×x^2

decrease in area=

4×pi×x^2-9/4×pi×x^2

=7/4×pi×x^2

so, decreased percentage in c.s.a=7/4×pi×x^2/4×pi×x^2×100%=7/16×100%=43.75%