Question

The radius of gold nucleus is 41.3fermi .Express its volume in metre cube

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given:

The radius of the gold nucleus is 41.3fermi

To Find:

Volume in meter cube

Solution:

The radius of the gold nucleus = 41.3 fermi

∴ 1 fermi = 1×$10^{-15}$ m

∵ The radius of the gold nucleus in meters = 41.3 × $10^{-15}$m

The gold nucleus is in the shape of a sphere so to find its volume we will use the formula for finding the volume of a sphere.

The volume of gold nucleus= 4/3πr³

Where r is the radius

 And the value of pie(π) = 22/7

According to question

⇒ The volume of gold nucleus= 4/3πr³

⇒Volume = (4/3)×(22/7)×(41.3 × $10^{-15}$m)³

              = 2.95×$10^{-40}$m³

Hence, the volume in meter cube is 2.95×$10^{-40}$m³