14. The figure below shows an iron ball suspended by thread of negligible mass from an upright cylinder that floats partially submerged in water. The cylinder has a height of 6.00 cm, a face area of 12.0 cm² on the top and bottom, and a density of 0.30 g/cm3, and 2.00 cm of its height is above the water surface. What is the radius of the iron ball?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Problem Statement:**

14. The figure below shows an iron ball suspended by a thread of negligible mass from an upright cylinder that floats partially submerged in water. The cylinder has a height of 6.00 cm, a face area of 12.0 cm² on the top and bottom, and a density of 0.30 g/cm³, and 2.00 cm of its height is above the water surface. What is the radius of the iron ball?

**Diagram Explanation:**
There is a simple diagram included in the problem statement:
- An upright cylinder partially submerged in water.
- A thread is attached to the cylinder and hangs down with an iron ball attached to its end, submerged in water.

**Given Data:**
- Height of the cylinder (h_cylinder) = 6.00 cm
- Face area of the cylinder (A_cylinder) = 12.0 cm²
- Density of the cylinder (ρ_cylinder) = 0.30 g/cm³
- Height of the cylinder above water surface (h_above_water) = 2.00 cm

**Objective:**
To determine the radius (r) of the suspended iron ball.
Transcribed Image Text:**Problem Statement:** 14. The figure below shows an iron ball suspended by a thread of negligible mass from an upright cylinder that floats partially submerged in water. The cylinder has a height of 6.00 cm, a face area of 12.0 cm² on the top and bottom, and a density of 0.30 g/cm³, and 2.00 cm of its height is above the water surface. What is the radius of the iron ball? **Diagram Explanation:** There is a simple diagram included in the problem statement: - An upright cylinder partially submerged in water. - A thread is attached to the cylinder and hangs down with an iron ball attached to its end, submerged in water. **Given Data:** - Height of the cylinder (h_cylinder) = 6.00 cm - Face area of the cylinder (A_cylinder) = 12.0 cm² - Density of the cylinder (ρ_cylinder) = 0.30 g/cm³ - Height of the cylinder above water surface (h_above_water) = 2.00 cm **Objective:** To determine the radius (r) of the suspended iron ball.
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