Question

Find the volume of a right circular cone that has a height of 11.2m and a base with a diameter of 8.8.

Answer 1

We know that:

`Volume \ of \ cone = \pi r^(2) (h)/(3) \\\\ Height = 11.2 \ m\\\\ Diameter = 8.8`

Step-1: Find the radius of the cone.

`Diameter = 2(Radius) \\\\ 8.8 \ m = 2(Radius) \\\\ (8.8)/(2) = (2(Radius))/(2) \\\\ 4.4 \ m = Radius`

Step-2: Substitute the radius and the height in the formula.

`Volume \ of \ cone = \pi r^(2) (h)/(3) \\\\ Volume \ of \ cone = (3.14)( 4.4^(2))( (11.2)/(3))\\\\ Volume\ of \ cone = (3.14)(19.36)( (11.2)/(3)) \\\\ Volume \ of \ cone = (680.85)/(3) = \bold{226.95 = 227 \ m^(3) \ (Rounded)}`

Thus, the volume of the cone is about 227 m³.

Answer 2

227.1 m³

Step-by-step explanation:

`\sf \ formula \ of \ volume \ of \ cone \ \ : (1)/(3) \ \pi \ r^2 \ h`

`\sf \hookrightarrow (1)/(3) \pi (4.4)^2 (11.2)`

`\sf \hookrightarrow (1)/(3) \pi (216.832)`

`\sf \hookrightarrow 72.3 \pi \ m^3`

`\sf \hookrightarrow 227.066 \ m^3`

`\sf \hookrightarrow 227.1 \ m^3`