Answer:
[tex]Area\text{ of the base = 50.24 dm}^2[/tex]Explanation:
Given:
Volume of the cone = 4π dm³
diameter of the base = 80cm
To find:
the area of the base
The base of a cone is a circle. Area of the base will be area of the circle
[tex]\begin{gathered} Area\text{ of a circle = \pi r}^2 \\ r\text{ = radius} \end{gathered}[/tex]diameter = 80cm
diameter = 2(radius)
radius = diameter/2
radius = 80/2 = 40 cm
We need to convert from cm to dm to get same units
10cm = 1 dm
40cm = 4 dm
let π = 3.14
substitute the values into the formula:
[tex]\begin{gathered} Area\text{ of the circle = 3.14 }\times\text{ 4}^2 \\ Area\text{ of the circle = 50.24} \\ \\ Area\text{ of the base = 50.24 dm}^2 \end{gathered}[/tex]