Find the volume of a right circular cone that has a height of 12 m and a base with a diameter of 8.9 m. Round your answer to the nearest tenth of a cubic meter.

Respuesta :

Volume of Cone

Volume of the right circular cone is  248.7 m³

Step-by-step explanation:

A right circular cone is a three dimensional geometrical object. Right circular cone is a circular cone whose axis is perpendicular to its base. The slant height is the length of an element. All elements of a right circular cone  are all equal.

The volume of the right circular cone is defined as  [tex]1/3 \pi r^{2}h[/tex]

where r is radius of the cone and h is the height of the cone

V =  [tex]1/3 \pi r^{2}h[/tex]

Given diameter d  = 8.9 m

So the radius r = 8.9 ÷ 2 = 4.45 m

V = (1/3) × 3.14 × (4.45)²  × 12

= (1/3) × 3.14 × 19.80 × 12

= 248.69 m³

Hence the Volume of the right circular cone is  248.7 m³

Answer:

248.8

Step-by-step explanation: