Question : The circumference of the base of a right circular cone is 44 cm and its height is 24 cm. The curved surface area (in cm2) of the cone is: (Take $\pi=\frac{22}{7}$)
Option 1: 528
Option 2: 572
Option 3: 550
Option 4: 440
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Correct Answer: 550
Solution :
Given that the circumference of the base of the cone is 44 cm.
The circumference of a circle is $2 \pi r$.
$2 \pi r = 44$
$\Rightarrow r = \frac{44}{2 \pi} =7$
Given that the height of the cone is 24 cm.
$l^2 = r^2 + h^2$
$\Rightarrow l^2 =(7)^2 + 24^2$
$\Rightarrow l =25$ cm
The curved surface area of a cone $=\pi rl= \frac{22}{7} \times7 \times25= 550$ cm
2
Hence, the correct answer is 550 cm
2
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