Question

find the value of the cone

Answer 1

Step 1: Problem

Calculate the volume of the figure below

Step 2: Concept

$\text{Volume of a cone = }\frac{1}{3}\text{ }\pi r^2h$

Step 3: Method

Given data

$\begin{gathered} \text{Diameter = 5in} \\ \text{Radius r = }\frac{Diameter}{2}\text{ = }\frac{5}{2}\text{ = 2.5 in} \\ Heighth=8in^{}^{} \\ \pi\text{ = 3.14} \end{gathered}$

Next substitute the given data.

$\begin{gathered} \text{Volume of a cone = }\frac{1}{3}\pi r^2h \\ =\text{ }\frac{1}{3}\text{ }\times\text{ 3.14 }\times2.5^2\text{ }\times\text{ 8} \\ =\text{ }\frac{\text{ 1 }\times\text{ 3.14 }\times\text{ 6,25 }\times\text{ 8}}{3} \\ =\text{ }\frac{157}{3} \\ =52.33in^3^{} \end{gathered}$

Step 4: Final answer

The volume = 52.33