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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Question : The volume of a right circular cone having a base diameter of 14 cm is 196$\pi$ cm3. Find the perpendicular height of this cone
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