Answer:25.5m^3
Step-by-step explanation:
radius(r)=2.3m
π=3.14
volume of hemisphere=2/3 x π x r^3
Volume=2/3 x 3.14x(2.3)^3
Volume=2/3 x 3.14 x 2.3 x 2.3 x 2.3
volume=(2x3.14x2.3x2.3x2.3) ➗ 3
Volume=76.40876 ➗ 3
Volume=25.5
Answer:
A.
Step-by-step explanation:
The x-intercepts are the points where the x value is zero. In this case, to find the "zeros" of the function, set each factor to zero. x-5 -> x=5. x-6 -> x=6. x+4 -> x=-4.
Answer:
50 liters
Step-by-step explanation:
If x is the volume of 20% acid, then:
x (0.20) + 20 (0.45) = (x + 20) (0.30)
0.2x + 9 = 0.3x + 6
3 = 0.1x
x = 30
30 liters of 20% acid are needed, so there will be a total of 50 liters of 30% acid.
The formula of the volume of a cylinder:

We have:

and

substitute:
Answer: The area of a base of the cylinder is equal 45 dm².
Answer:
The sampling method applied is Cluster sampling.
Step-by-step explanation:
A cluster sampling method is the type of sampling where first the entire population is divided into homogeneous groups. Then a random sample of these groups are selected.
After selecting a sample of groups, a random sample of fixed size is selected from each group.
In this case all freshmen are first divided into 30 sections, then 4 random sections are selected and the students in those 4 sections are sampled.
The sampling method applied is Cluster sampling.