Question

two solid spheres made of the same metal have weights 11840gm and 1480gm,respectively.Find radius of smaller sphere ,if diameter of larger sphere is 10cm.

Answer 1

Answer: The radius of smaller sphere would be 2.5 cm.

Step-by-step explanation:

Since the two solid spheres mare made of the same metal, so density of both sphere would be same.

And also,

Volume would be directly proportional to the weight of the sphere. Thus,

V1/V2= W1/W2

where V1=4/3*pi*R^3, V2=4/3*pi*r^3, W1=11840 gm, and W2=1480 gm

So,

4/3*pi*R^3/4/3*pi*r^3= 11840/1480

(R/r)^3= 8

Taking cube root both side, we get

R/r= 2

r= R/2 (since diameter of larger sphere, D=10 cm, so R=10/2=5 cm)

r=5/2=2.5 cm