Find the volume of a right circular cone that has a height of 16 m and a base with a circumference of 14.7 m. Round your answer to the nearest tenth of a cubic meter.

Respuesta :

Answer:

3,266.53

Step-by-step explanation:

v= 3,266.53 (rounded)

v- 3620.62 (unrounded)

V=πr2h

3=π·14.72·16

3≈3620.6227

Volume of a right circular cone is 91.7 m³.

What is right circular cone?

" A right circular cone is three dimensional solid in which line of its axis is perpendicular to its base."

Formula used

Volume of a right circular cone = [tex]\frac{1}{3}[/tex] π r²h

According to the question,

Circumference of a right circular cone = 14.7m

2πr = 14.7

⇒ r = 14.7 ÷ ( 2× 3.14)

⇒ r = 2.34

Height of a right circular cone = 16m

Substitute the value in the formula

Volume of right circular cone = [tex]\frac{1}{3}[/tex] × 3.14 × (2.34)² ×16

                                                  = 91.69

                                                  = 91.7 m³ (nearest tenth)

Hence  Volume of a right circular cone is 91.7 m³.

Learn more about Volume of a right circular cone here

https://brainly.com/question/15682045

#SPJ2