Answer:
[tex]\begin{gathered} Area\text{ of base = 254.5 cm}^2 \\ Volume\text{ = 1017.9 cm}^3 \end{gathered}[/tex]
Explanation:
Here, we want to calculate the area and volume of the base of the cone
a) The area of the base
Mathematically, we can calculate that as:
[tex]\begin{gathered} A\text{ = }\pi\times r^2 \\ A\text{ = }\frac{22}{7}\times\text{ 9}^2\text{ = 254.5 cm}^2 \end{gathered}[/tex]
b) Volume
We can calculate the volume using the formula below:
[tex]V\text{ = }\frac{1}{3}\times\pi\times r^2\times h[/tex]
where r is the base radius which is 9 cm and h is the height which is 12cm
Substituting the values, we have it that:
[tex]V\text{ = }\frac{1}{3}\times\pi\times9^2\times12\text{ = 1017.9 cm}^3[/tex]
