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)}`Step-by-step explanation:

diameter of the cone = 38 cm

radius = diameter/2

radius = 38/2 = 19cm

height of the cone = 20cm

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

let π = 3.14

substitute the values in the formula:

`\begin{gathered} \text{Volume of the cone = }(1)/(3)*\text{ 3.14 }*19^2*\text{ }20 \\ \text{Volume of the cone = }(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}`