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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