Question : What is the difference between the total surface area and the curved surface area of a cone whose radius is 35 cm? (Take $\pi=\frac{22}{7}$)
Option 1: 3850 cm2
Option 2: 3704 cm2
Option 3: 3750 cm2
Option 4: 3675 cm2
Correct Answer: 3850 cm 2
Solution : Given: Radius of the cone ($r$) = 35 cm Let the slant height be $l$ cm. Curved surface area = $\pi r l$ Total surface area = $\pi r (l+r)$ Now, Total surface area – curved surface area = $\pi r (l+r)-\pi r l$ = $\pi r^2$ = $\frac{22}{7}\times35\times35$ = 3850 cm 2 Hence, the correct answer is 3850 cm 2 .
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