If the radius of sphere is increased by 10% , by what % it's curved surface area is increased
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Step-by-step explanation:
r1 = r
r2 = r+(r×10/100)
for r1
surface area= 4π(r1)²
= 4×π×r²
= 4πr²
for r2
surface area= 4π(r2)²
=4π{r+r/10}²
=4π{11r/10}²
=4π{121r²/100}
now compare R1 and R2
now compare R1 and R24πr²is as 4π×121r²/100
4πr² × ((121/100)×100%)
(R1 surface area) × 121%
✓∆ there fore curved surface area increases by 121%
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