Question

Largest sphere is made from a cube of wood with 1 cm side. So, the volume of the sphere is

a) 1π
b) 1/6π
c) 4/3π
d) 1/3π

•spam will be reported
•i want answer with explanation
•Correct answer will be brainliest
• Answer is 1/6π but how that is don't know so explain​

Answer 1

Given :

• Side of cube of wood = 1cm
• From same cube of wood , largest sphere is made

To find :

Volume of sphere

Formula used :

• Volume of sphere = (4/3)πr³

Solution :

First of all we need to find out radius of sphere made.

Here we are given that largest sphere is made, which means, the sphere is made which would have maximum possible radius ( or diameter ).

Let us imagine a cube and a sphere inside it , the sphere with largest diameter will be in such a manner that sphere touches all faces of cube.

This means that the maximum diameter will be equal to side of cube.

Therefore,

➝ Diameter largest sphere = Side of cube

➩ Diameter = 1cm

Also , radius = Diameter/2

➩ Radius = (1/2) cm

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➝ Volume of sphere = (4/3) × π × (1/2 cm)³

➩ Volume of sphere = (4/3) × π × (1/2)³ cm³

➩ Volume of sphere = (4/3) × π × (1/8) cm³

➩ Volume of sphere = (4/3)×(1/8) π cm³

➩ Volume of sphere = (1/3)×(1/2) π cm³

➩ Volume of sphere = (1/6) π cm³

Therefore answer will be Option b) (1/6)π

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ANSWER :

Option b) (1/6)π