Multiple choice

Volume of a cone is $6280\ cubic\ cm$ and base radius of the cone is $30\ cm$. Find its perpendicular height.$(\pi=3.14)$

  1. $5.66cm$
  2. $0.66cm$
  3. $6.66cm$
  4. $5.34cm$
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C Correct answer
Explanation

The volume of a cone is (1/3) * pi * r^2 * h. Given V=6280, r=30, and pi=3.14, we have 6280 = (1/3) * 3.14 * 900 * h. 6280 = 942 * h. h = 6280 / 942 = 6.66 cm.

AI explanation

Using the cone volume formula V = (1/3) pi r squared h, we substitute the given values to get 6280 = (1/3) times 3.14 times (30 squared) times h. This simplifies to 6280 = 942 times h. Dividing 6280 by 942 gives the perpendicular height as approximately 6.66 cm.

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