Question

If a cylinder of radius 10 cm and height 8 cm is melted and constructed into a cone of the same radius, what will be the height of this cone?

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Answer 1

Answer:

30 cm

Step-by-step explanation:

Let the required height of the cone be h.

radius of cylinder = radius of cone

As the cylinder is melted and constructed into a cone than,

Volume of cylinder = Volume of cone

π * (radius of cylinder)² * height of cylinder = ⅓ * π * ( radius of cone)² * height of cone

10 cm = ⅓ * h

h = 30 cm

Answer 2

${\huge{\mathcal{\tt{Given:-}}}}$

▪ Radius of cylinder = 10cm

&

▪ Height of cylinder = 8cm

${\huge{\mathcal{\tt{To- Find:- }}}}$

▪The height of cone

${\huge{\mathcal{\tt{Solution :-}}}}$

Cylinder is constructed into a cone having same radius as cylinder.

Therefore,

➠ Volume of cylinder(πr^2 h') = Volume of cone (1/3 *πr^2 h)

&

➠ Radius of cone = Radius of cylinder

Hence,

1/3 πr^2 h = πr^2 h'

➯ 1/3 * h = h'

➯ 1/3 h =8

➯ h = 24

Therefore, height of the cone is 24cm

${\huge{\mathcal{\pink{Hope \ It's \ Helpful..!!!}}}}$