Question

Calculate the volume of the largest right circular cylinder which can be cut of a cube, each edge of which is 14 cm long. /

Answer 1

Given:

Edge of a cube= 14 cm

Volume of the largest right circular cylinder = Volume of the cylinder with diameter of base 14 cm and height 14 cm

Radius of cylinder= diameter/2= 14/2=7 cm

Height of cylinder = 14 cm

Volume of cylinder = πr²h

Vol. of largest right circular cylinder = (22/7)×(7)²×14

= 22×(7)²×2

= 22×49×2

= 2156 cm²

Hence, the volume of the largest right circular cylinder which can be cut of a cube, each edge of which is 14 cm long is 2156 cm²

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Hope this will help you.....

Answer 2

Solution :-

Right circular cylinder is cut out of a cube with edge 14 cm.

So,

The length of the each edge of the cube = The height of the right circular cylinder

⇒ Height of the cylinder = 14 cm

Also, length of each edge of the cube = The diameter of the base of the right circular cylinder

⇒ Diameter of the base of the cylinder = 14 cm

Then, radius = 14/2 = 7 cm

Volume of cylinder = πr²h

⇒ 22/7*7*7*14

⇒ 15092/7

= 2156 cm³

So, volume of the right circular cylinder is 2156 cm³