Question

An undersea research chamber is spherical with an external diameter of 5.40 m. the mass of the chamber, when occupied, is 66400 kg. it is anchored to the sea bottom by a cable.

What is the volume of the undersea research chamber?

a) 101.79 m³
b) 157.08 m³
c) 214.36 m³
d) 268.74 m³

Answer 1

The volume of the undersea research chamber is approximately 157.08 m³.

Step-by-step explanation:

To calculate the volume of the undersea research chamber, we need to use the formula for the volume of a sphere:

V = (4/3)πr³

Since the given diameter of the chamber is 5.40 m, the radius would be half of that, which is 2.70 m. Plugging the value of the radius into the formula, we get:

V = (4/3)π(2.70)³

Simplifying, we find that the volume of the undersea research chamber is approximately 157.08 m³. Therefore, the correct answer is option b) 157.08 m³.