Question

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

Answer 1

Volume of figure = 289 m³

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' =
`(7)/(2)` m and h = 15 m will be,

V = π(3.5)²(15)

V = 577.268 m³

Half of the volume =
`(577.268)/(2)`

= 288.634 m³

≈ 289 m³

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