The bathysphere was an early version of a submarine, invented in the 1930s. The inside
diameter of the bathysphere was 56 inches, and the steel used to make the sphere was 1.5
inches thick. It had three 10-inch diameter windows. Estimate the volume of steel used to
make the bathysphere to the nearest whole number.
It took about
in.of steel to make the bathysphere.

Respuesta :

Answer:

Step-by-step explanation:

The shape of bathysphere submarine is a sphere and can be imagined as concentric sphere.

Given inside diameter of bathysphere = 56in or radius will be [tex]\frac{56}{2}[/tex] inch

Volume of inside sphere = [tex]\frac{4}{3} \pi r^{3}[/tex] = [tex]\frac{4}{3}\pi 28^{3}[/tex]

Since the steel is 1.5 inch thick, the volume of outside sphere =  [tex]\frac{4}{3} \pi r^{3}[/tex]

The changed r will   [tex]\frac{4}{3} \pi r^{3}[/tex] = [tex]\frac{4}{3}\pi \frac{57.5}{2}^{3}[/tex]

Volume of steel = [tex]\frac{4}{3}\pi 28.75^{3} -\frac{4}{3}\pi 28^{3}[/tex] = [tex]\frac{4}{3}\pi (28.75^{3} -28^{3})[/tex]