Question

17. The diameter of the base of a right circular cone measures 4 cm. What is the volume of the cone if its height is 6 cm? Choose your answer. A. 75.36 cm³ B. 37.68 cm³ C. 25.12 cm³ D. 24 cm³

Answer 1

Given:

Diameter of the base 4 cm

Height of cone 6 cm

Find-:

The volume of a cone.

Explanation-:

Volume of cone is:

`V=(1)/(3)\pi r^2h`

Where,

`\begin{gathered} V=\text{ Volume} \\ \\ r=\text{ Radius} \\ \\ h=\text{ Height} \end{gathered}`

Diameter is 4 cm then the radius is:

`\begin{gathered} r=(D)/(2) \\ \\ r=(4)/(2) \\ \\ r=2\text{ cm} \end{gathered}`

So, the volume of a cone is:

`\begin{gathered} V=(1)/(3)\pi r^2h \\ \\ V=(1)/(3)*\pi*(2)^2*6 \\ \\ V=(1)/(3)*\pi*4*6 \\ \\ V=\pi*4*2 \\ \\ V=8\pi \\ \\ V=8*3.14 \\ \\ V=25.12\text{ cm}^3 \end{gathered}`

The volume of a cone is 25.12 cm³