Answer:
4) Volume model = 1723 ft³
5) The percentage of the original tank is 51200% of the mock-up
Step-by-step explanation:
4) ∵ The volume of the main tank is 882,158 ft³
∵ The dimension of the scale model is 1/8 of the original model
∵ V model/v original = (dimension model/dimension original)³
∴ Volume model/882,158 = (1/8)³
∴ Volume model = (1/512) × 882,158 = 1722.965 = 1723 ft³
5) The percentage of the original tank is
(882158/1722.965) × 100% = 51200%
Answer:
1. 3,077.2 cm³
2. 1,808.6 ft³
3. 602.9 in.³
4. 230.8 yd³
5. 191.8 m³
6. 70.3 in.³
Step-by-step explanation:
Recall: Volume of cylinder = πr²h
1. r = 7 cm
h = 20 cm
π = 3.14
Volume = 3.14*7²*20 = 3,077.2 cm³
2. r = 8 ft
h = 9 ft
π = 3.14
Volume = 3.14*8²*9 ≈ 1,808.6 ft³
3. r = ½(8) = 4 in.
h = 12 in.
π = 3.14
Volume = 3.14*4²*12 ≈ 602.9 in.³
4. r = 3½ yd = 3.5 yd
h = 6 yd
π = 3.14
Volume = 3.14*3.5²*6 ≈ 230.8 yd³
5. r = ½(5.3) = 2.65 m
h = 8.7 m
π = 3.14
Volume = 3.14*2.65²*8.7 ≈ 191.8 m³
6. r = 1.9 in.
h = 6.2 in.
π = 3.14
Volume = 3.14*1.9²*6.2 ≈ 70.3 in.³
Answer:

Step-by-step explanation:
Given the function:

To find:
Domain of the function.
Solution:
First of all, let us learn about definition of domain of a function.
Domain of a function is the valid input values that can be provided to the function for which output is defined.
OR
Domain of a function
are the values of
for which the output
is a valid value.
i.e. The function does not tend to
or does not have
form.
So, we will check for the values of
for which
is not defined.
For value to tend to
, denominator will be 0.

So, the domain can not have x = 2
Any other value of x does not have any undefined value for the function
.
Hence, the answer is:
[2 is not included in the domain].
Answer:
6
Step-by-step explanation:
The 4 and 12 are multiplied together which creates 48 (4*12). Then you divide the 48 by 8 (48/8) wich equals 6.
Answer:
1-1/2. 2-15
Step-by-step explanation: