Answer:
[tex]h=30[/tex]
Step-by-step explanation:
Volume of a cone=1540[tex]cm^{3}[/tex], Radius=7cm.
The height of a cone=h
When we need to find the height of a cone, we can use the formula of the volume of a cone, which is [tex]\frac{1}{3} \pi r^{2} h[/tex] to find the height of a cone.
[tex]1540cm^{3} =\frac{1}{3}\pi r^{2} h[/tex]
Put the pi value=22/7 and the value of radius which is 7 cm into the formula.
[tex]1540cm^{3}=\frac{1}{3}*\frac{22}{7} 7^{2}h[/tex]
[tex]1540cm^{3} =\frac{154}{3}h[/tex]
Move [tex]\frac{154}{3}[/tex] to another side. 1540 divided by [tex]\frac{154}{3}[/tex] to calculate what is the value of h, h is the height of a cone. Like this.
[tex]\frac{1540cm^{3} }{\frac{154}{3} } =h[/tex]
[tex]30=h[/tex]
Rearrange the h.
[tex]h=30[/tex]
I hope you will understand my solution and explanation. If you still cannot get the point, you can ask me anytime! Thank you!
