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.

Step-by-step explanation:

Step 1:

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

The volume of a sphere is given by multiplying $\frac{4}{3}$ with π and the cube of the radius (r³).

The volume of a full sphere $=\frac{4}{3} \pi r^{3}$.

Step 2:

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

The volume of a full sphere $=\frac{4}{3} \pi r^{3} = \frac{4}{3} (3.1415) (8^{3}) = 2,144.5973$ 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.