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Answer:

10π

Step-by-step explanation:

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The given diagram is a quarter portion of a cylinder. The volume of the shown figure in terms of π is 10π m³

Volume of a cylinder

The given diagram is a quarter portion of a cylinder. The formula for calculating the volume of a cylinder is expressed as;

V = πr²h

where

  • r is the radius
  • h is the height

The volume of the figure shown will be:

V = πr²h/4

Given the following

r = 2m

h = 10m

Substitute

V = π(2)²(10)/4

V = 10π m³

Hence the volume of the shown figure in terms of π is 10π m³

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