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mars1129 [50]
3 years ago
11

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 t

he nearest tenth of a cubic meter.
Mathematics
1 answer:
dem82 [27]3 years ago
5 0

Answer:

226.4 m³.

Step-by-step explanation:

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

\displaystyle V = \frac{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= \frac{1}{2}h=9.3\;\text{m}.

\displaystyle V = \frac{1}{3} \pi\cdot r^{2}\cdot h = \frac{1}{3} \pi \times 9.3^{2} \times 2.5 \approx 226.4\;\text{m}^{3}.

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