Given,
The height of the cone is
[tex]h=7\text{ in.}[/tex]
The diameter of the cone is
[tex]d=10\text{ in.}[/tex]
To find: Find the volume of a cone.
Solution:
The volume of the cone is calculated by the formula.
[tex]V=\frac{1}{3}\pi\times r^2\times h[/tex]
The radius of the cone is
[tex]\begin{gathered} r=\frac{10\text{ in.}}{2} \\ r=5\text{ in.} \end{gathered}[/tex]
Substitute the given values in the formula.
[tex]\begin{gathered} V=\frac{1}{3}\times\pi\times\text{\lparen5 in.\rparen}^2\times\text{7 in.} \\ V=\frac{25\times7}{3}\pi\text{ in.}^3 \\ V=58.34\pi\text{ in.}^3 \end{gathered}[/tex]
Thus, the volume of the cone is
[tex]V=58.34\pi\text{ in.}^3[/tex]
