Geometry and TrigonometryHardVolume of half a cylinder
Geometry and Trigonometry practice question
A trough is shaped like half of a cylinder, cut along its length, with radius 3 feet and length 8 feet. Its volume can be written as kπ cubic feet. What is the value of k?
Answer: 36
The full cylinder is π(9)(8) = 72π, and half of it is 36π.
Common wrong answers
- If you answered 18
- 18 halves 36 again.
- If you answered 24
- 24 uses the radius instead of its square.
- If you answered 72
- 72 is the full cylinder.
More Geometry and Trigonometry questions
- Hard
In a right triangle, one leg is 5 and the hypotenuse is 13. What is the length of the other leg? - Hard
A circle has a radius of 4. What is the length of an arc that subtends a central angle of 90°? - Hard
A circle is defined by the equation (x − 3)² + (y + 2)² = 25. What is the radius of the circle? - Hard
What is 135° expressed in radians? - Hard
What is the length of segment PT? - Hard
What is the measure, in degrees, of the central angle of this sector?
Not affiliated with the College Board. SAT is a trademark of the College Board.