Question

The volume of a cone with circular base is
216πcm³. If the base radius isa
9 cm then the height
of
the cone is​

Answer 1

Given :

• Volume of the cone is 216π cm³.
• Radius of the cone is 9cm.

To Find :

• Height of Cone.

Solution :

$\longmapsto\tt{Radius=9cm}$

Using Formula :

$\longmapsto\tt\boxed{Volume\:of\:Cone=\dfrac{1}{3}\pi{{r}^{2}h}}$

Putting Values :

$\longmapsto\tt{216{\cancel{\pi}}=\dfrac{1}{3}{\cancel{\pi}}{{(9)}^{2}\times{h}}}$

$\longmapsto\tt{216\times{3}=81h}$

$\longmapsto\tt{648=81h}$

$\longmapsto\tt{h=\cancel\dfrac{647}{81}}$

$\longmapsto\tt\bf{h=8cm}$

So , The height of Cone is 8cm..

_______________________

• C.S.A of Cone = πrl
• T.S.A of Cone = πrl(l+r)
• Volume of Cone = 1/3πr²h

_______________________

Answer 2

Answer:

Step-by-step explanation:

V=πr²h/3

216πcm³=π9cm×9cm×h/3(you divide 3 by one 9)

216πcm³=π9cm×3cm×h

216πcm³/27πcm²=27πcm²h/27πcm²

8cm=h

therefore height is 8cm

pliz mark as brainiest if the answer helps you