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.

Kate and David each have \$10. Together they flip a coin 5 times. Every time the coin lands on heads, Kate gives David \$1.
A tugboat traveling at 40 kph leaves port at 4 PM carrying off some contraband goods. A patrol boat assigned to stop the goods leaves the same post an hour later and drove at 90 kph. What time will the patrol boat overtake the tugboat?
Without the use of calculator, solve for y if $\ln y = \frac{1}{2}\ln 4 + \frac{2}{3} \ln 8$.
What do you call differential equations having the form $$ y' + py = qy^n $$, where $n$ is an integer greater than 1?
Xoc9dHk-2 How much work is done in winding-up the full length of the chain?
In an open channel flow, hydraulic jump occurs when:
A merchant buys goods at 25% off the list price. He desires to mark the goods so that he can give a discount of 20% on the marked price and still clear a profit of 25% on the selling price. What per cent of the list price must he mark the goods?
In an open channel flow, the discharge at a certain section can be measured by the use of the weir, given by the equation: $Q = \frac{8}{15}C \sqrt{2g} ~ \tan (\frac{1}{2}\theta) ~ H^{5/2}$
A series of siphon pipes of uniform diameter are to draw water to irrigate the farm instead of using the traditional method of flooding the area.
Compute the following: $\displaystyle \sum_{j = 1}^6 \left[ -3 + 5(j - 1) \right]$.
A battalion, 20 miles long, advances 20 miles. During this time, a messenger on a horse travels from the rear of the battalion to the front and immediately turns around, ending up precisely at the rear of the battalion...
A couple decides to entertain 24 friends by giving 4 dinners with 6 guests each. In how many ways can the 1st group be chosen?
After M students took the test, there was a total of 64% of correct answers. If the test contains 50 questions, what is the least number of questions that the next student have to get right to bring the total of correct answers to 70%?
$\sqrt[m]{\sqrt[n]{x}}$ could be expressed as…
A lead pencil whose ends are regular hexagons was cut from a cylindrical piece of wood with the least waste.