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Section 8.1: Volumes of Cylinders — Practice Questions

  1. 1. A cylindrical candle has a radius of 4 cm and a height of 10 cm. Its volume is ___ cubic cm. Express your answer in terms of $\pi$.

  2. 2. If the radius of a cylinder is doubled while the height remains the same, how does the volume change?

    • A. It doubles
    • B. It is halved
    • C. It quadruples
    • D. It stays the same
  3. 3. A cylindrical water tower has a radius of 10 feet and a height of 20 feet. What is its volume in cubic feet? Leave your answer in terms of $\pi$.

  4. 4. In the formula $V = \pi r^2 h$, what does the term $\pi r^2$ represent?

    • A. The circumference of the base
    • B. The area of the base
    • C. The height of the cylinder
    • D. The diameter of the base
  5. 5. A coffee mug is shaped like a cylinder with a radius of 4 cm and a height of 9 cm. Calculate its volume in terms of $\pi$. The volume is ___ cubic cm.

  6. 6. If a cylinder's height is doubled while its radius is kept the same, what is the effect on its volume?

    • A. The volume is quadrupled.
    • B. The volume is doubled.
    • C. The volume is halved.
    • D. The volume does not change.
  7. 7. A cylindrical barrel has a radius of 2 feet and a height of 5 feet. Its volume is ___ cubic feet. Express your answer in terms of $\pi$.

  8. 8. A cylindrical container has a radius of 4 inches and a height of 6 inches. Using $\pi \approx 3.14$, its volume is ___ cubic inches.

  9. 9. A water tank is a cylinder with a radius of 10 meters and a height of 7 meters. What is its approximate volume in cubic meters? Use $\pi \approx 3.14$.

    • A. 2198
    • B. 219.8
    • C. 314
    • D. 8792
  10. 10. A cylinder has a base with an area of 50 square cm and a height of 12 cm. What is the volume of the cylinder in cubic cm? ___