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Find the volume of a right circular cone that has a height of 2.5 m and a base with a diameter of 18.6 m. Round your answer to the nearest tenth of a cubic meter.

User Ggasp
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1 Answer

2 votes

Answer:

226.4 m³.

Explanation:

The volume of a right cone with a circular base is:


\displaystyle V = (1)/(3) \pi\cdot r^(2)\cdot h,

where


  • V is the volume of the cone,

  • r is the radius of the cone,
  • and
    h is the height of the cone.

The radius of the circular base is one-half its diameter.


\displaystyle r= (1)/(2)h=9.3\;\text{m}.


\displaystyle V = (1)/(3) \pi\cdot r^(2)\cdot h = (1)/(3) \pi * 9.3^(2) * 2.5 \approx 226.4\;\text{m}^(3).

User Syeda
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