Mathematics: To calculate the volume of the cone, the height is still needed. if the cone has a lateral surface with a length of 13 units, what is the height of the cone?

To calculate the volume of the cone, the height is

Ответ:

IsabellaGracie

09.03.2022

Mathematics

Step-by-step explanation:

Alright, lets get started.

The formula for volume of the cone is :

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

Please refer the diagram I have attached.

There is a right angle triangle formed.

Using Pythagorean theorem,

l^2=h^2+r^2

13^2=h^2 + r^2

h^2=169-r^2

taking square root on both sides,

$h=\sqrt{169-r^2}$

This is the answer h.

Hope it will help :)

To calculate the volume of the cone, the height is still needed. if the cone has a lateral surface w

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Ответ:

saintsfan2004

24.02.2020

Mathematics

Equation: 450 = 128 + 150 + n

work:

1st step:
128+150 = 278

2nd step:
450-278 = 172

172

3rd step (checking) :
450 = 128 + 150 + 172
450 = 278 + 172
450 = 450

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To calculate the volume of the cone, the height is still needed. if the cone has a lateral surface with a length of 13 units, what is the height of the cone?

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