Question

A small storage tank is spherical in shape. What is the storage volume of the tank?
Statement A
A. The wall thickness of the tank is 1 cm.
Statement B
B. When the empty spherical tank is immersed in a large tank filled with water, 20 liters of water overflow from the large tank.

• A. The question can be answered by one of the statements alone but not by the other.
• B. The question can be answered by using either statement alone.
• C. The question can be answered by using both the statements together, but cannot be answered by using either statement alone.
• D. The question cannot be answered even by using both statements together.

Hint:

To solve for volumes in geometry problems, look for ways to calculate the volume of displaced water or given dimensions.

Answer 1

The Correct Option is C

From Statement A: The thickness of the walls of the spherical tank gives some information, but without the radius or diameter of the tank, we cannot calculate the volume.
From Statement B: Knowing the overflow from the large tank helps us understand the volume of water displaced, which is the volume of the spherical tank. With both statements combined, we can calculate the volume of the tank. Therefore, the Correct Answer is (3).