Question

The vertical height of a cone is twice the diameter of its base and its volume is 36π cm". Find its
height.​

Answer 1

Answer:

h = 2d

d = h/4

r = h/8

volume = πr²h

36π = π × h²/64 × h

h³ = 64× 36

h =

$\sqrt[3]{2304}$

$h = 4 \sqrt[3]{36}$

Answer 2

Answer:

Step-by-step explanation:

let r=xcm

h=4x cm

volume=πr^2h/3

36π=π*x^2*4x

x=$\sqrt[3]{27}$

=3cm

h=12cm