The volume of a cylinder is given by

where
is the base area, and
is the height.
We are already given the height, which is 10.
We can deduce the base area since we are given a diameter: the radius is half the diameter, so it's 8, and the area of a circle is given by

So, the volume is

Answer:
Explained below.
Step-by-step explanation:
The random variable <em>X</em> is defined as the number of stars in a given volume of space.

The probability mass function of <em>X</em> is:

(7)
Compute the probability of exactly two stars in 16 cubic light-years as follows:

(8)
Compute the probability of three or more stars in 16 cubic light-years as follows:

(9)
In 16 cubic light years there is only 1 star.
Then in 1 cubic light years there will be, (1/16) stars.
Then in 4 cubic light years there will be, 4 × (1/16) = (1/4) stars.
(10)
In 16 cubic light years there is only 1 star.
Then in 1 cubic light years there will be, (1/16) stars.
Then in <em>t</em> cubic light years there will be, [<em>t</em> × (1/16)] stars.
Answer:
17,500 * 0.8= 14,000
I hope this helps you out
Step-by-step explanation:
23) It is right angle triangle, so the sum of acute angle must be equal to 90
sum of ratio units = 2+7 = 9
value of 1 unit = 90/9 = 10
measures of angle would be 2(10) & 7(10) = 20 & 70
Measure of smaller angle is 20
24) It is only graphical work. You have to do it on your own cause I can't show you here, sorry!!