Question

Find the value of the cone

Answer 1

Step 1: Problem

Calculate the volume of the figure below

Step 2: Concept

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

Step 3: Method

Given data

`\begin{gathered} \text{Diameter = 5in} \\ \text{Radius r = }(Diameter)/(2)\text{ = }(5)/(2)\text{ = 2.5 in} \\ Heighth=8in^{}^{} \\ \pi\text{ = 3.14} \end{gathered}`

Next substitute the given data.

`\begin{gathered} \text{Volume of a cone = }(1)/(3)\pi r^2h \\ =\text{ }(1)/(3)\text{ }*\text{ 3.14 }*2.5^2\text{ }*\text{ 8} \\ =\text{ }\frac{\text{ 1 }*\text{ 3.14 }*\text{ 6,25 }*\text{ 8}}{3} \\ =\text{ }(157)/(3) \\ =52.33in^3^{} \end{gathered}`

Step 4: Final answer

The volume = 52.33