Question : A sector is formed by opening out a cone with a base radius of 8 cm and height of 6 cm. Then the radius of the sector is (in cm):
Option 1: 4
Option 2: 8
Option 3: 10
Option 4: 6
Correct Answer: 10
Solution :
The slant height of the cone
= $\sqrt{8^2 + 6^2}$
= $\sqrt{64+36}$
= $\sqrt{100}$
= 10 cm
The slant height of the cone = radius of sector = 10 cm
Hence, the correct answer is 10.
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