3. The surface area of a sphere is 394.24 cm. If its
radius is decreased by 25%, what will be the
decrease in the surface area?
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Answer:
surface area=A=4πr²
⇒A∝r²
⇒dA=2rdr
⇒dA/A×100=2dr/r×100
⇒%decrease in area=2×25=50%
⇒decrease in the surface area=dA=50/100×A=1/2×394.24=197.12
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