Multiple choice

The lateral surface area of a right circular cone is 220 cm2, and the slant height is 10 cm. Find the radius of the base of the cone.

  1. 4 cm

  2. 5 cm

  3. 6 cm

  4. 7 cm

  5. 8 cm
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D Correct answer
Explanation

The lateral surface area of a cone is given by pi * r * l. Given area = 220 and slant height l = 10, we have 220 = (22/7) * r * 10. Solving for r: 220 = (220/7) * r, so r = 7.

AI explanation

Using the formula for the lateral surface area of a cone, which is πrl, we set up the equation (22/7) * r * 10 = 220. Multiplying both sides by 7 gives 220r = 1540. Dividing 1540 by 220 gives a radius of 7 cm.

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