Question

a solid right circular cylinder is made by melting a solid right circular cone. The radii of both are equal. If the height of the cone is 12cm.then let us determine the height of the solid cylinder.
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Answer 1

Question :-

A solid right circular cylinder is made by melting a solid right circular cone. The radii of both are equal. If the height of the cone is 12cm.then let us determine the height of the solid cylinder.

Given :-

•A solid right circular cylinder is made by melting a solid right circular cone.

• Height of the cone, h = 12 cm

• The radii of both are equal

To Find :-

• Height of the solid cylinder

Solution :-

We know,

Volume of cylinder = πr²h

${\boxed{\sf{Volume\:of\:cone=\dfrac{1}{3}\pi\:r^2\:h}}}$

Now,

Volume of cone = ⅓ πr² 12

= 4πr² cm³

Here,

• Radii of cone = Radii of cylinder = r

• Height of cylinder = h

According to the question, we can write

Volume of cylinder = Volume of cone

➱ πr²h = 4πr²

➱ h = 4

Therefore,

height of the solid cylinder is = 4 cm