Question

The external diameter of a hollow metallic sphere is 13.6 cm and its thickness is 2.2 cm. Find the radius of the solid sphere made of the same material and having the same weight as the hollow sphere. Give your answer in the nearest cm.

Answer 1

Answer:

•external diameter = 14 cm

•Radius of a solid sphere is

6.073 cm

•external radius = R = 7 cm

•internal radius = external radius -

thickness

•internal radius = r = 5

•Now , Volume of material in hollow

sphere = 4π( R³-r³)/3

= 4π(7³-5³)/3

= 4π(349-125)/3

= 4π(224)/3

•Now let the required sphere has

radius = R'

•Volume of required sphere =

4π(R'³)/3

•According to question

•Volume of required sphere = •Volume of material in hollow

sphere

• 4π(R'³)/3 = 4π(224)/3

• R'³ = 224

• R' = 6.073 cm