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3 years ago

Plz help it’s important

Mathematics

1 answer:

m_a_m_a [10]3 years ago

6 0

Answer:

hemisphere volume: 262 m³
cylinder volume: 942 m³
composite figure volume: 1204 m³

Step-by-step explanation:

A. The formula for the volume of a hemisphere is ...

V = (2/3)πr³

For a radius of 5 m, the volume is ...

V = (2/3)π(5 m)³ = 250π/3 m³ ≈ 261.799 m³

B. The formula for the volume of a cylinder is ...

V = πr²h

For a radius of 5 m and a height of 12 m, the volume is ...

V = π(5 m)²(12 m) = 300π m³ ≈ 942.478 m³

C. Then the total volume is ...

V = hemisphere volume + cylinder volume

V = 261.799 m³ +942.478 m³ = 1204.277 m³

Rounded to the nearest integer, the volumes are ...

hemisphere volume: 262 m³
cylinder volume: 942 m³
composite figure volume: 1204 m³

_____

As a rule, you only want to round the final answers. Here, the numbers are such that rounding the intermediate values still gives the correct final answer. That is not always the case.

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