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WITCHER [35]
2 years ago
8

Find the volume of a right circular cone that has a height of 12.7 m and a base with a circumference of 18.9 m. Round your answe

r to the nearest tenth of a cubic meter.
Mathematics
1 answer:
DochEvi [55]2 years ago
7 0

Step-by-step explanation:

We have,

Height of cone, h = 12.7 m

Circumference of base, C = 18.9 m

The base of a circular cone is circular. The circumference of circle is given by :

C=2\pi r

r is radius

r=\dfrac{C}{2\pi}\\\\r=\dfrac{18.9 }{2\pi}\\\\r=3\ m

The volume of a right circular cone is given by the formula as :

V=\dfrac{1}{3}\pi r^2h

V=\dfrac{1}{3}\times 3.14 \times 3^2\times 12.7\\\\V=119.634\ m^3

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