Question

2. Calculate the area and volume of the base of the cone shown (solve only a) )

Answer 1

`\begin{gathered} Area\text{ of base = 254.5 cm}^2 \\ Volume\text{ = 1017.9 cm}^3 \end{gathered}`

Step-by-step 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:

`\begin{gathered} A\text{ = }\pi* r^2 \\ A\text{ = }(22)/(7)*\text{ 9}^2\text{ = 254.5 cm}^2 \end{gathered}`

b) Volume

We can calculate the volume using the formula below:

`V\text{ = }(1)/(3)*\pi* r^2* h`

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:

`V\text{ = }(1)/(3)*\pi*9^2*12\text{ = 1017.9 cm}^3`