Question

find the volume of the conefind the volume in pifind the volume by rounding to the nearest tenth as a decimal

Answer 1

• The volume of the cone in terms of π is 48π m³.

,

• The volume is 150.7 m³ (rounded to the nearest tenth).

Explanation:

Given a cone with:

• Radius = 4 m

,

• Perpendicular height = 9 m

The volume of a cone is calculated using the formula:

`V=(1)/(3)\pi r^2h`

Substitute the given values:

`\begin{gathered} V=(1)/(3)*\pi*4^2*9 \\ =48\pi\;m^3 \end{gathered}`

The volume of the cone in terms of π is 48π m³.

Next, we find the volume as a decimal.

`\begin{gathered} V=48\pi \\ =48*3.14 \\ =150.72 \\ \approx150.7\;m^3 \end{gathered}`

The volume is 150.7 m³ (rounded to the nearest tenth).