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Lesson 2: Find Volume of Cylinders — Practice Questions

  1. 1. A cylinder has a volume of $50\pi$ cubic centimeters and a height of $2$ cm. The radius of the cylinder is ___ cm.

  2. 2. What is the radius of a cylinder with a volume of $147\pi$ cubic inches and a height of $3$ inches?

    • A. 7 inches
    • B. 49 inches
    • C. 14 inches
    • D. 24.5 inches

  3. 3. Find the radius of a cylinder with a volume of $1570$ cubic meters and a height of $5$ meters. Use $\pi \approx 3.14$. The radius is ___ meters.

  4. 4. A cylindrical barrel has a volume of approximately $628$ cubic feet and a height of $8$ feet. Using $\pi \approx 3.14$, what is its radius?

    • A. 5 feet
    • B. 25 feet
    • C. 10 feet
    • D. 2.5 feet

  5. 5. The volume of a cylinder is $288\pi$ cubic units and its height is $2$ units. The radius of its base is ___ units.

  6. 6. What is the primary method for finding the volume of a composite solid?

    • A. Averaging the volumes of its parts.
    • B. Decomposing the solid and adding the volumes of its parts.
    • C. Multiplying the volumes of its parts.
    • D. Finding the surface area of the largest part.

  7. 7. An L-shaped desk is made of two rectangular prisms. The first prism has a volume of 6 cubic feet. The second has a volume of 4.5 cubic feet. What is the total volume of the desk? ___ cubic feet.

  8. 8. A monument is formed by a rectangular prism base with a pyramid on top. The base has a volume of 90 m³. The pyramid has a base area of 15 m² and a height of 6 m. What is the total volume? ___ m³.

  9. 9. A composite solid is made by stacking two identical rectangular prisms. How is the total volume found?

    • A. Calculate the volume of one prism and multiply by 2.
    • B. Calculate the volume of one prism and square it.
    • C. Add the length, width, and height of one prism.
    • D. It cannot be determined without the dimensions.

  10. 10. A model of a barn is a rectangular prism with a triangular prism roof. The rectangular part has a volume of 150 ft³. The roof has a triangular base area of 10 ft² and a length of 9 ft. What is the total volume? ___ ft³.