After being treated with chemotherapy, the radius of the tumor decreased by 23%. What is the corresponding percentage decrease in the volume of the tumor

The volume of the tumor experimented a decrease of 54.34 percent.

Step-by-step explanation:

Let suppose that tumor has an spherical geometry, whose volume () is calculated by:

Where is the radius of the tumor.

The percentage decrease in the volume of the tumor () is expressed by:

Where:

- Absolute decrease in the volume of the tumor.

- Initial volume of the tumor.

The absolute decrease in the volume of the tumor is:

The percentage decrease is finally simplified:

Given that and , the percentage decrease in the volume of tumor is:

The volume of the tumor experimented a decrease of 54.34 percent.

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