Question

• A cone-shaped building is commonly used to storesand. What would be the volume of a cone-shapedbuilding with a diameter 50 m and height 20 m to thenearest tenth?») 52,333.3 m3) 13,083.3 m24,084.5 m33,804.1 m3

Answer 1

`\boxed{13,083.3m^3}`

Step-by-step explanation:

Step 1. The information we have about the cone is:

`\begin{gathered} \text{Diameter:} \\ d=50m \\ Height\colon\text{ } \\ h=20m \end{gathered}`

Step 2. To find the Volume of the cone, we use the following equation:

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

Where V is the volume, r is the radius and π=3.14.

To find r, we use:

`r=(d)/(2)`

The value of the radius is:

`\begin{gathered} r=(50m)/(2) \\ \downarrow \\ r=25m \end{gathered}`

Step 3. Substitute all of the values into the formula to find the Volume:

`\begin{gathered} V=(\pi r^2h)/(3) \\ \downarrow \\ V=((3.14)(25m)^2(20m))/(3) \end{gathered}`

Solving the operations step by step:

`\begin{gathered} V=\frac{(3.14)(625m^2)^{}(20m)}{3} \\ \downarrow \\ V=((3.14)(12,500m^3))/(3) \\ \downarrow \\ V=(39,250m^3)/(3) \\ \downarrow \\ V=13,083.333m^3 \end{gathered}`

Rounding to the nearest tenth (1 decimal):

`13,083.3m^3`

Answer:

`\boxed{13,083.3m^3}`