Question

can any one explain 9th one question there answer is given but i not understood how pls explain in detail .... do not spam...​

Answer 1

Answer:-

Your Answer Is Option b) 2r cm.

Explanation:-

Given:-

• Radius of right circular cylinder = r cm.

• Height of the cylinder = h.

• Also, h>2r.

To Find:-

• The diameter of the sphere which just encloses in the cyllinder.

Solution:-

Let Us First Understand The Question,

The question is asking that what should be the maximum Diameter of a sphere which can fit in the given cylinder.

So let the diameter of the sphere be D.

Therefore,

In order to fit in the cylinder,

↦ Diameter of sphere < or = diameter of cylinder.

As if the diameter of sphere > cylinder then it will not fit in the cylinder.

↦ D < or = 2r cm.

(As Diameter = 2 × Radius.)

So the maximum value of the diameter of the sphere is 2r.

Therefore The Diameter Of The Sphere Which Just Encloses In The Cylinder Is 2r.

Answer 2

Answer:

b) 2r cm

Step-by-step explanation:

Given -

A right circular cylinder of radius r cm and height h cm (h > 2r) just enclosed the sphere of diameter,

Solution -

From the given question, we can say

• radius of cylinder (r) = r cm
• height of cylinder (h) = h cm
• h > 2r

We have to find what should be the maximum diameter of a sphere that can fit the cylinder (enclose the cylinder).

If the radius of cylinder is r cm, we can say that diameter of cylinder will be 2r

Now if we take a sphere of diameter more than 2r cm, it cannot fit the cylinder, because it will be bigger than the cylinder.

So we can take the sphere of same diameter of the cylinder,

diameter of cylinder = 2r cm

=> diameter of sphere = 2r cm

Hence the maximum length of the diameter of sphere should be 2r cm, that it could enclose the cylinder perfectly.

hope it helps.