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4
The diagram shows a concrete solid used in construction.
Find the volume of the solid.
Give your answer to 3 significant figures.
15 m
7 m
m

4 The diagram shows a concrete solid used in construction. Find the volume of the solid. Give your answer to 3 significant figures. 15 m 7 m m class=

Answer :

Answer:

Volume of figure = 289 m³

Step-by-step explanation:

Given figure is in the half cylindrical shape.

So calculate the volume of the whole cylinder first then half the volume.

Since, formula to calculate the volume of a cylinder is,

V = πr²h

Here, r = radius of the cylinder

h = height of the cylinder

Therefore, volume of a cylinder with 'r' = [tex]\frac{7}{2}[/tex] m and h = 15 m will be,

V = π(3.5)²(15)

V = 577.268 m³

Half of the volume = [tex]\frac{577.268}{2}[/tex]

                               = 288.634 m³

                                ≈ 289 m³

Therefore, volume of the figure shown in the picture = 289 m³

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