2004 AMC 10A Problem 19
Attempt Problem 19 of the 2004 AMC 10A below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2004 AMC 10A solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
19.
A white cylindrical silo has a diameter of feet and a height of feet. A red stripe with a horizontal width of feet is painted on the silo, as shown, making two complete revolutions around it. What is the area of the stripe in square feet?
Answer: C
Small hint:
Imagine cutting the stripe from the silo and unrolling it flat
Big hint:
It becomes a parallelogram with horizontal width and height
Solution:
Unrolling the stripe flattens it into a parallelogram. Its base (the horizontal width) is feet and its height spans the full feet of the silo.
The area is therefore square feet.
Thus, the correct answer is C.
Problem 19 in other years
- 2000 AMC 10
- 2001 AMC 10
- 2002 AMC 10A
- 2002 AMC 10B
- 2003 AMC 10A
- 2003 AMC 10B
- 2004 AMC 10B
- 2005 AMC 10A
- 2005 AMC 10B
- 2006 AMC 10A
- 2006 AMC 10B
- 2007 AMC 10A
- 2007 AMC 10B
- 2008 AMC 10A
- 2008 AMC 10B
- 2009 AMC 10A
- 2009 AMC 10B
- 2010 AMC 10A
- 2010 AMC 10B
- 2011 AMC 10A
- 2011 AMC 10B
- 2012 AMC 10A
- 2012 AMC 10B
- 2013 AMC 10A
- 2013 AMC 10B
- 2014 AMC 10A
- 2014 AMC 10B
- 2015 AMC 10A
- 2015 AMC 10B
- 2016 AMC 10A
- 2016 AMC 10B
- 2017 AMC 10A
- 2017 AMC 10B
- 2018 AMC 10A
- 2018 AMC 10B
- 2019 AMC 10A
- 2019 AMC 10B
- 2020 AMC 10A
- 2020 AMC 10B
- 2021 AMC 10A Spring
- 2021 AMC 10B Spring
- 2021 AMC 10A Fall
- 2021 AMC 10B Fall
- 2022 AMC 10A
- 2022 AMC 10B
- 2023 AMC 10A
- 2023 AMC 10B
- 2024 AMC 10A
- 2024 AMC 10B
- 2025 AMC 10A
- 2025 AMC 10B