Math, asked by Zero7966, 1 year ago

The ratio of the radii of two spheres is 1:2. The two spheres are melted together to form a cylinder of height which is 12 times its radius. So what is the ratio of the radius of the smaller sphere and the cylinder?

Answers

Answered by veergermany025
13

Answer:

1:1

Step-by-step explanation:

Let radius of given sphers are r and R and height of cylinders after reshaping are h and H

Given : r:R=1:2    and

height of cylinder after reshaping is H and radius =x

H=12x

We know after reshaping only volume will remain same as material is same quantity

so Sum of volume of spheres = volume of cylinder

and we get required ratio as 1:1

further solution is in the attached pic

Attachments:
Answered by rebellion10308
3

Answer: 1:1

Step-by-step explanation: Let the radius of small sphere be r1

then the radius of bigger sphere be r2

and it is given in the question that r2=2r1

now both the spheres are melted and converted into a cylinder

so 1 thing of our interest is that the combined volume of these two spheres will be equal to the volume of cylinder

also let the radius of cylinder be rh

so equating the two volumes we get

πrh2h = 4/3πr13 +4/3πr23

⇒rh2*12 rh = 4/3 r13 + 4/3 (2r1)3

⇒12 rh3 = 12 r13

so the ratio of radius of smaller sphere and cylinder will be (1:1)

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