Answer: Volume of the cylinder = 
Step-by-step explanation:
Volume of cylinder = Area of base x height
Also, area of cross section = Area of base
Volume of cylinder = area of cross section x height
Given: Area of cross section = 
height = 8 cm
Volume of cylinder = 614 x 8

Hence, the volume of the cylinder = 
Answer:
First, we need to know how to calculate the area and the permiter of a rectangle.
To calculate the area, we multiply base by height and to calculate the perimeter, we sum all sides.
Knowing this, we can say that the area is 3x * (x+5) and the perimiter is 3x + 3x + x + 5 + x + 5, as we know both are the same, we write it as an equation:

Now we solve the equation:




As the negative result doesn't have sense, we only pick the second one: 1.
If x = 1, then area would be 3*6 = 18 square inches and perimeter 3+3+6+6 = 18 inches
Answer:
#3) 72; #4) 40,320; #5) 90.
Step-by-step explanation:
#3) The number of possible choices are found by multiplying the choices of flavors and the choices of toppings:
6*12=72.
#4) The ordering of 8 cards is a permutation, given by 8!=40,320.
#5) This is a permutation of 10 objects taken 2 at a time:
P(10,2) = 10!/(10-2)!=10!/8!=90.
P.S I had the same question once.
Answer:
Geometric
Step-by-step explanation:
A geometric setting does not have a set number of trials, and the variable in question is the number of trials it takes to get the first success.
The upgrades are independent, and the probability of the customer upgrading is the same each time.