Question

If radius of nucleus is 3.5 × 10^-15 m then find the space or volume occupied by the nucleus

Answer 1

We know, Nucleus is spherical in shape. 

∴ Volume of the sphere = 4/3 π r³.

where, r = radius of the nucleus.
 = 3.5 × 10⁻¹⁵ m.

∴ Volume of the nucleus = 4/3 × 22/7 × (3.5 × 10⁻¹⁵)³
⇒ Volume of the Nucleus = 88/21 × (42.875 × 10⁻⁴⁵)
⇒ Volume of the Nucleus = 3773/21 × 10⁻⁴⁵
∴ Volume of the Nucleus = 179.67 × 10⁻⁴⁵ m³


Hence, the Volume of the Nucleus is 179.67 × 10⁻⁴⁵ m³.


Hope it helps.

Answer 2

∴ Volume of the nucleus = 4/3 × 22/7 × (3.5 × 10⁻¹⁵)³

⇒ Volume of the Nucleus = 88/21 × (42.875 × 10⁻⁴⁵)

⇒ Volume of the Nucleus = 3773/21 × 10⁻⁴⁵

∴ Volume of the Nucleus = 179.67 × 10⁻⁴⁵ m³