The volume of a cylinder can be found using the formula:
π r² h,
where r is the radius of the circular base and h is the height of the cylinder.
If we plug in the measurements of the cylinder, we get:
π (6²) (28)
When this is simplified, we get that the volume of the cylinder is:
1008π cubic cm
Thus, if each marble has a volume of 36π cubic cm, then to find how many marbles will fit into the vase we must divide the vases total volume by the volume of each marble.
1008π / 36π = 28
Therefore, the answer is D. 28 marbles
Answer:
1)- Variable utilities cost per machine hour = 1.6 per machine hour
2)- Fixed cost = 1740
3)-Total cost on 1220 Machine hour will be
= 3692
Step-by-step explanation:
1) CALCULATE VARIABLE UTILITIES COST PER MACHINE HOUR :
Variable utilities cost per machine hour = Change in cost/high machine hour-low machine hour
=4076-3388/1460-1030
Variable utilities cost per machine hour = 1.6 per machine hour
2) Fixed cost = Total cost-variable cost
= 3388-(1030*1.6)
Fixed cost = 1740
3) Total cost on 1220 Machine hour will be (1220*1.6+1740) = 3692
Answer: The probability that the fourth marble Amy picks is black 
The probability that in the fifth attempt she will pick a red or a black marble P(R∩B) =
Step-by-step explanation:
To find the probability that in the fifth attempt she will pick a red or a black marble P(R∩B) .
The total marble in beginning=6+4+8=18
After 3 attempts, the total marbles left=18-3=15
The number of black marbles =8
The probability that the fourth marble Amy picks is black
As four marble has already picked up, then the total marbles left in the box
=18-4=14
Now, as a red marble is already picked in 1st attempt , the number of red marbles in the box now= 4-1=3
And a black marble is already picked in fourth attempt , the number of black marbles in the box now= 8-1=7
Now P(R∩B)=P(R)+P(B)=
Answer:
Total Cost (T)= .80a+1.25c
T= a+c
Step-by-step explanation:
This equation has 2 variables. It also has 2 equations
For two objects with a finite constant mass, Fg is inversely proportional to the square of the distance between them. As r gets smaller the gravitational force increases. When the two objects are touching Fg is highest. But the mass of an object is focussed at its centre, the centre of mass. When the objects are touching their centres of mass are still separated. The graph has a vertical asymptote at r=0, implying an infinite gravitational force.
