Question

The length of the radius of a right circular cylinder is r unit and height is 2r unit. The
length of the diameter of the largest sphere that can be kept in the cylinder is
(a)r unit (b) 2r unit (c)ż unit (d) 4r unit​

Answer 1

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Question :

The length of the radius of a right circular cylinder is r unit and height is 2r unit. The

length of the diameter of the largest sphere that can be kept in the cylinder is

(a)r unit (b) 2r unit (c)ż unit (d) 4r unit

Solution :

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$</p><p>\tt{\red{Given \: - }}$

From the above question we can gather the following Information :

• The length of the radius of a right circular cylinder is r unit.

• The height of a right circular cylinder is 2r unit.

_____________

We Have To Find :

• The length of the diameter of the largest sphere that can be kept in the cylinder.

_________________

We Know That :

We know that the diameter of the base of the cylinder is equal to the diameter of the required sphere.

Hence we can state :

d = 2r.

So Option B Is Correct....

Answer 2

‍ $\large{ \underline{ \mathtt{Your \ Question:-}}}$$<font color="red">$

→The length of the radius of a right circular cylinder is r unit and height is 2r unit. The length of the diameter of the largest sphere that can be kept in the cylinder is:

$<font color="</strong><strong>black</strong><strong>">$(a)r unit (b) 2r unit (c)ż unit (d) 4r unit

$\textbf{\large{\blue{SoLutioN:-}}}$

‍ $\small \red{ \underline{ \mathtt{we \ know \ that:}}}$$<font color="black">$

→The diameter of the base of the cylinder is equal to the diameter of the required sphere.

So:$<font color="</strong><strong>lawngreen</strong><strong>">$

‍ ‍ ‍ ⠀⠀⠀ ⠀$\huge{ \mathtt{d = 2r}}$