SAT · Additional Topics in Math · Volume and surface area
Question sat-q-00206
Medium Multiple choice Calculator OK
The question
A cylinder has radius 3 and height 9. What is its volume, in terms of π?
- 18π
- 81π
- 27π
- 54π
Show answer & worked solution
Answer: 81π
Worked solution. Volume of a cylinder is πr²h. Here r = 3 and h = 9, so V = π × 3² × 9 = 81π.
Why each wrong choice is wrong. The 2πr × h distractor confuses lateral surface area with volume. Memorize both formulas separately.
Test-day tactic. Volume formula for any prism or cylinder: base area × height. For a cylinder, base area is πr².
About this question type
Items test the volume formulas for the standard solids and (occasionally) surface area. The SAT provides a reference sheet with most of these formulas; the question is whether you can read it under time pressure.
You will see a question shaped like this one on roughly every other official SAT form, typically at a moderate position in the section — solidly within the range that separates a 600-band student from a 700-band student. Treat any miss in this subtopic as a signal to drill the subtopic page before you do another full practice test.