Question
Question 14, 8.4.D-5
What is the cross-sectional area of a cement pipe 4 in. thick with an inner diameter of 4 ft ? Use
(Simplify your answer. Round to the nearest whole number as needed.)
(Simplify your answer. Round to the nearest whole number as needed.)
Ask by Santiago Stewart. in the United States
Mar 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The cross-sectional area of the cement pipe is approximately 5 square feet.
Solution
Let the inner radius be
The pipe wall is 4 inches thick. Converting inches to feet:
The outer radius is then
The cross-sectional area of the pipe (the annular region) is the area of the outer circle minus the area of the inner circle:
Substitute the values:
Thus,
Express 4 as
Calculating,
Rounding to the nearest whole number gives approximately
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Simplify this solution Extra Insights
To find the cross-sectional area of the cement pipe, we need to calculate the outer radius and then the area of the whole pipe minus the area of the inner pipe.
- The inner diameter is 4 ft, so the inner radius is
ft. - The thickness of the pipe is 4 in, which is
ft. - Therefore, the outer radius is
ft.
Now, we can calculate the cross-sectional area:
- Area of the outer circle:
- Area of the inner circle:
Finally, the cross-sectional area of the pipe is:
Rounding to the nearest whole number, the cross-sectional area of the cement pipe is approximately
