Answer:
The volume of the hemisphere is approximately 231,623.3 m³
Step-by-step explanation:
The radius of the hemisphere in the question, r = 48 m
A hemisphere is obtained by sharing a sphere into two halves
The radius of the hemisphere = The radius of the sphere which describes it
∴ The volume of a hemisphere = The volume of a sphere ÷ 2
The volume of a sphere = (4/3)·π·r³
∴ The volume of a hemisphere = (4/3)·π·r³ ÷ 2 = (2/3)·π·r³
∴ The volume of the given hemisphere with 48 m radius, V = (2/3) × π × 48³
∴ V = (2/3) × π × (48 m)³ = 231,623.343164 m³
When the measure of the volume of the hemisphere is rounded to the nearest tenth, we have, V ≈ 231,623.3 m³.
