Given:
The diameter of cylinder is 6 in and the height of the cylinder is 8 in.
The dimensions of the cuboid are 15 in by 9 in by 9 in.
To find:
The volume of the composite figure.
Solution:
Volume of a cuboid is:



So, the volume of the cuboid is 1215 cubic inches.
The diameter of cylinder is 6 in. So, the radius of the cylinder is:

Volume of a cylinder is:

Where, r is the radius and h is the height.
Substituting
, we get



The volume of the cylinder is 226.08 cubic inches.
Now, the volume of the composite figure is:



Therefore, the volume of the composite figure is 1441.08 cubic inches.
The answer to your question is A!
answer: 53 in !!
Answer:
67
Step-by-step explanation:
From the question given above, the following data were obtained:
Number of terms (n) = 12
Last term (L) = 100
Common difference (d) = 3
First term (a) =?
We can obtain the first term of the arithmetic sequence as follow:
L = a + (n – 1)d
100 = a + (12 – 1)3
100 = a + (11)3
100 = a + 33
Collect like terms
100 – 33 = a
a = 67
Therefore, the first term of the arithmetic sequence is 67
Answer:$21.25
Step-by-step explanation:
4.75 times 5 equals 23.75-2.50=21.25
Answer:
Dale will reach his goal at an annual rate of 11.83%.
Step-by-step explanation:
The formula for continuos compounding is given by:

In which A is the amount after t years, P is the principal(initial amount) and r is the annual rate.
Dale has 2000 dollars to invest.
This means that 
He has a goal to have 5800 in this invest ment in 9 years.
So 
At what annual rate compounded continuously will Dale reach his goal?
This is r.








Dale will reach his goal at an annual rate of 11.83%.