Geometry and Trigonometry practice question

Answer: A. 90π

Volume of a cylinder is (area of base) × height = πr²h = π(3)²(10) = 90π.

Why the other answers are wrong

B. 30π

30π uses r instead of r²: π(3)(10). The base is a circle with area πr² = 9π, then multiply by the height.

C. 60π

60π is the lateral surface area, 2πrh = 2π(3)(10). Volume uses the base area πr², not the circumference.

D. 9π

9π is just the area of the base, πr². Multiply by the height, 10, to get the volume.

More Geometry and Trigonometry questions

• Medium
  In a 45°-45°-90° right triangle, each leg has length 5. What is the length of the hypotenuse?
• Medium
  A cylinder has a radius of 3 and a height of 10. What is its volume? (Use V = πr²h.)
• Medium
  In a right triangle, the side opposite angle θ has length 3 and the hypotenuse has length 5. What is sin θ?
• Medium
  Two triangles are similar with a ratio of 2 to 3. A side of the smaller triangle measures 8. What is the lengt…
• Medium
  What is the distance between the points (1, 2) and (4, 6) in the coordinate plane?
• Medium
  A circle has a radius of 6. What is the area of a sector with a central angle of 60°?