Given:
Volume of a right circular cone = 16 cubic inches
Radius of the cone = 1.5 inches.
To find:
The height of the cone.
Solution:
The volume of a cone is:
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Where, r is the radius and h is the height of the cone.
Putting [tex]V=16,r=1.5,\pi=3.14[/tex] in the above formula.
[tex]16=\dfrac{1}{3}(3.14)(1.5)^2h[/tex]
[tex]48=(3.14)(2.25)h[/tex]
[tex]48=7.065h[/tex]
Divide both sides by 7.065.
[tex]\dfrac{48}{7.065}=h[/tex]
[tex]6.794=h[/tex]
[tex]h\approx 7[/tex]
Therefore, the height of the cone is 7 inches.
