Answer:
A) The volume of the cylinder is <em>1017.9 in³</em>.
B) The volume of the enlarged cylinder is <em>27,482.7 in³</em>.
Step-by-step explanation:
<h3><u>What is the volume of the cylinder?</u></h3>
The radius of the cylinder is r = 6 in and the height is h = 9 in.
The volume of a cylinder can be found using the formula:
Substitute r = 6 and h = 9 into the formula.
- V = π(6)²(9)
- V = π(36)(9)
- V = π(324)
- V = 1017.876
The volume of the cylinder is <u>1017.876 in³</u>.
<h3><u>What is the volume of the enlarged cylinder?</u></h3>
If the cylinder is enlarged by a factor of 3, this means that each dimension is getting increased by 3.
Therefore, we need to multiply the original volume by a factor of three cubed; 3³.
- V_enlarged = V · 3³
- V_enlarged = 1017.876 · 27 = 27482.652 in³
The volume of the enlarged cylinder is <u>27,482.652 in³</u>.
The frequency of the data set that matches with the interval stated are:
50 - 54: 2
55 - 59: 6
60 - 64: 7
65 - 69: 3
70 - 74: 2
<h3>What is a Frequency?</h3>
Frequency is the number of times a data point or a set of points within an interval appears often in a data set.
The corresponding frequency to each of the interval given for the data would be as follows:
50 - 54: 2
55 - 59: 6
60 - 64: 7
65 - 69: 3
70 - 74: 2
Learn more about the frequency of a data on:
brainly.com/question/15422753
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Answer:
R = 20
Step-by-step explanation:
mean age = sum of ages/no. of men
sum of ages of the men that left = 55 + 63 = 188
remaining sum = 50R - 118
remaining no. of men = R - 2
now mean age = 50 - 1 = 49 years
49 = 50R-118/R-2
49(R - 2) = 50R - 118
49R - 50R = -188 - 98
-R = -20
R = 20
Answer:
-1/10
Step-by-step explanation:
It would take Sam 2 weeks to save $56, and it would take Pam 4 weeks to save $56 (hope this helped)