Question

Calculate the radius of this shape if the volume is 1017.876m3. Make sure your answer includes the proper units

Answer 1

Given:

Volume of the cone = 1017.876 cubic m

slant height = 15m

height = 12m

To find the radius of the cone, we would have to use the formula of a cone. The formula for the volume of a cone is:

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

Substituting the given values:

`1017.876\text{ = }(1)/(3)\text{ }*\pi\text{ }* r^2*12`

Solving for the radius r:

`\begin{gathered} 12\pi\text{ }* r^2\text{ = 3 }*\text{ 1017.876} \\ r^2\text{ = }\frac{3\text{ }*\text{ 1017.876}}{12\pi} \\ r^2\text{ = 80.9999} \\ r\text{ = }\sqrt[]{80.99999} \\ r\text{ = 8.9} \\ r\text{ }\approx\text{ 9 } \end{gathered}`

Answer:

r = 9m