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3 years ago

What is the volume of a hemisphere with a radius of 48 m, rounded to the nearest tenth of a cubic meter

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

5 0

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.

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