Question

5. Cone: a. r = 3, h = 9 b. h = 12, r = 5

Answer 1

a. 84.78

b. 314

Step-by-step explanation:

The volume of a cone can be calculated as:

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

Where π is approximately 3.14, r is the radius and h is the height.

So, replacing r = 3 and h = 9, we get that the volume is equal to:

`\begin{gathered} V=(1)/(3)\cdot3.14\cdot3^2\cdot9 \\ V=(1)/(3)\cdot3.14\cdot9\cdot9 \\ V=84.78 \end{gathered}`

In the same way, replacing r = 5 and h = 12, we get:

`\begin{gathered} V=(1)/(3)\cdot3.14\cdot5^2\cdot12 \\ V=(1)/(3)\cdot3.14\cdot25\cdot12 \\ V=314 \end{gathered}`

Therefore, the answers are:

a. 84.78

b. 314