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1 answer:
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The formula of the volume of an oblique cylinder is V = 
r²h where is 3.14, r is the radius of the circular base of the cylinder and h is the height of the cylinder. You are given a slant length and radius of 26 and 10 units. You can get the height by using pythagorean theorem c²=a²+b².
c²=a²+b²
26² = 10² + b²
b = 24
V =r²h
V =(10)²(24)
V = 7,540 units³
c²=a²+b²
26² = 10² + b²
b = 24
V =
V =
V = 7,540 units³
Explanation:
a)
b) First, we have that
On the other hand,
Therefore, both expressions are equal. This makes sense, because selecting k elements from a group of n is the same than specify which elements you will not select. In order to specify those elements you need to select the n-k elements that will not be selected. Hence, each time you are selecting k from n, you are also selecting n-k from n, and from that reason both combinatorial numbers are equal.