Question

Find the volume of this figure. Round to the nearest hundredths. The image shows a sphere with a radius of 8m.

Answer 1

The volume of the given figure is 2,144.60 cubic m.

Explanation:

Step 1:

The given sphere has a radius of
`r=8` m.

The volume of a sphere is given by multiplying
`(4)/(3)` with π and the cube of the radius (r³).

The volume of a full sphere
`=(4)/(3) \pi r^(3)`.

Step 2:

Here the radius is 8 m. We take π as 3.1415.

The volume of a full sphere
`=(4)/(3) \pi r^(3) = (4)/(3) (3.1415) (8^(3)) = 2,144.5973` cubic m.

The volume of the sphere is 2,144.5973 cubic m, rounding this off, we get the volume as 2,144.60 cubic m.