Question

The volume of a cone is 1540cm³. If its radius is 7cm, calculate the height of the cone. (Take pi = 22/7)

Answer 1

Answer:

$h=30$

Step-by-step explanation:

Volume of a cone=1540$cm^{3}$, 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 $\frac{1}{3} \pi r^{2} h$ to find the height of a cone.

$1540cm^{3} =\frac{1}{3}\pi r^{2} h$

Put the pi value=22/7 and the value of radius which is 7 cm into the formula.

$1540cm^{3}=\frac{1}{3}*\frac{22}{7} 7^{2}h$

$1540cm^{3} =\frac{154}{3}h$

Move $\frac{154}{3}$ to another side. 1540 divided by  $\frac{154}{3}$ to calculate what is the value of h, h is the height of a cone. Like this.

$\frac{1540cm^{3} }{\frac{154}{3} } =h$

$30=h$

Rearrange the h.

$h=30$

I hope you will understand my solution and explanation. If you still cannot get the point, you can ask me anytime! Thank you!

Answer 2

Answer:

The height of the cone is h = 30 cm.

Step-by-step explanation:

The formula for a cone is:

$\\ V = \frac{1}{3}*\pi*r^2*h$

We have (without using units) and using pi = 22/7:

$\\ 1540 = \frac{1}{3}*\frac{22}{7}*(7)^2*h$

Which is equals to:

$\\ 1540 = \frac{1}{3}*\frac{22}{7}*(7)*h$

$\\ 1540 = \frac{1}{3}*22*7*h$

Well, we have to solve the equation for h:

$\\ \frac{1540*3}{22*7} = h$

$\\ 30 = h$

Therefore, the height of the cone is 30 cm.