The cross-sectional area of the cylinder is \(\pi (3)^2 = 9\pi\).

February 22, 2026

$The cross-sectional area of the cylinder is \(\pi (3)^2 = 9\pi\).$

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The area is \(w \times 3w = 8 \times 24 = 192\).
A cylindrical tank with a radius of 3 meters and a height of 5 meters is filled with water. If a spherical ball with a radius of 1 meter is submerged in the tank, how much will the water level rise?
The volume of the sphere is \(\frac{4}{3} \pi (1)^3 = \frac{4}{3} \pi\).
The rise in water level is \(\frac{\frac{4}{3} \pi}{9\pi} = \frac{4}{27}\) meters.
#### \(\frac{4}{27}\)
The sum of the first \(n\) positive integers is 210. What is \(n\)?

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