Multiple Choice Question: A spherical zone of one base of height $h$ is cut from a sphere of radius $r$. What is the volume of the zone?

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Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.

Solve for x if $\ln e^{\sqrt{x + 1}} = 3$.
Find the approximate amount of material in an open rectangular box whose inside measurements are 1.60 m long, 1.00 m wide and 0.60 m deep, if the box is made of lumber which is 1.75 cm thick.
The shipment of items is divided into two portions. If the difference between the portions is one-third of their average, what is the ratio of the larger portion to the smaller portion?
The diagonals of a parallelogram are 16 cm and 28 cm, respectively. One side of the parallelogram is 12 cm. Find the area of the parallelogram.
Solve for the determinants: $\begin{vmatrix}1 & 2 & 3 \\ 2 & -1 & 4 \\-1 & -1 & -5\end{vmatrix}$
How many different fractions less than 1 can be formed using the numbers 2, 3, 5, 7, and 9?
The sum to infinity of $\dfrac{1}{7} + \dfrac{2}{7^2} + \dfrac{1}{7^3} + \dfrac{2}{7^4} + \ldots$ is:
Shureka Washburn has scores 72, 67, 82 and 79 on her algebra tests. Use an inequality to find the scores she must take on the final exam to pass the course with an average of 77 or higher, given that the final exam counts as two test.
Chords AB and AC are drawn on a circle of radius 10 inches. Find the angle between the chords if the arc BAC is 28 inches long.
A Norman window has the shape of a rectangle surmounted by a semicircle.
Solve for x if log_3 2x - log_3 (x + 5) = 0.
The distance between the centers of the three circles which are mutually tangent to each other externally are 10, 12, and 14 units. Find the area of the smallest circle.
A stone is dropped into a well and the report of the stone striking the bottom is heard 7.7 seconds after it is dropped.
dKi9DFQ-3 Find the maximum moment (in kN-m) that could developed at point A.
A circle with radius 6 has half its area removed by cutting off a border of uniform width. Find the width of the border.