Question

What is the volume of this cone?A) 30,721.53 cm3B) 1,567.20 cm3C) 7,556.93 cm3D) 11,759.37 cm3

Answer 1

$\text{Volume of the cone = 7556.93 cm}^3\text{ (option C)}$Explanation:

diameter of the cone = 38 cm

radius = diameter/2

radius = 38/2 = 19cm

height of the cone = 20cm

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

let π = 3.14

substitute the values in the formula:

$\begin{gathered} \text{Volume of the cone = }\frac{1}{3}\times\text{ 3.14 }\times19^2\times\text{ }20 \\ \text{Volume of the cone = }\frac{22670.8}{3} \end{gathered}$$\begin{gathered} \text{Volume of the cone = 7556.9333} \\ To\text{ the nearest hundredth:} \\ \text{Volume of the cone = 7556.93 cm}^3\text{ (option C)} \end{gathered}$