eric_gomez
eric_gomez 3d ago • 10 views

Test questions for calculating cylinder height or radius

Hey there! 👋 Struggling with cylinder calculations? Don't worry, I've got you covered! This study guide + quiz will help you ace those problems in no time. Let's get started! 😄
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sharon_cantu Dec 30, 2025

📚 Quick Study Guide

  • 📏 Cylinder Volume Formula: The volume ($V$) of a cylinder is given by $V = \pi r^2 h$, where $r$ is the radius and $h$ is the height.
  • 📐 Cylinder Surface Area Formula: The surface area ($A$) of a cylinder is given by $A = 2\pi r^2 + 2\pi rh$, where $r$ is the radius and $h$ is the height.
  • 🔢 Finding Height: If you know the volume ($V$) and the radius ($r$), you can find the height ($h$) using: $h = \frac{V}{\pi r^2}$.
  • 🔍 Finding Radius: If you know the volume ($V$) and the height ($h$), you can find the radius ($r$) using: $r = \sqrt{\frac{V}{\pi h}}$.
  • 💡 Units: Always make sure your units are consistent! If the radius is in cm, the height should also be in cm.
  • 📝 Approximation of Pi: Use 3.14 or the \$\pi\$ button on your calculator for more accurate calculations.

🧪 Practice Quiz

  1. What is the height of a cylinder with a volume of 500 cubic cm and a radius of 5 cm?
    1. 2 cm
    2. 6.37 cm
    3. 10 cm
    4. 20 cm
  2. A cylinder has a volume of 785 cubic inches and a height of 10 inches. What is its radius?
    1. 2.5 inches
    2. 5 inches
    3. 7.5 inches
    4. 10 inches
  3. If a cylinder has a radius of 3 cm and a volume of 282.6 cubic cm, what is its height?
    1. 5 cm
    2. 10 cm
    3. 15 cm
    4. 20 cm
  4. A cylinder has a height of 8 inches and a volume of 401.92 cubic inches. What is its radius?
    1. 2 inches
    2. 4 inches
    3. 6 inches
    4. 8 inches
  5. The volume of a cylinder is 1570 cubic meters, and its radius is 5 meters. What is the height of the cylinder?
    1. 10 meters
    2. 20 meters
    3. 30 meters
    4. 40 meters
  6. What is the radius of a cylinder with a volume of 628 cubic cm and a height of 8 cm?
    1. 3 cm
    2. 4 cm
    3. 5 cm
    4. 6 cm
  7. A cylinder has a volume of 1256 cubic inches and a height of 4 inches. Find the radius.
    1. 5 inches
    2. 10 inches
    3. 15 inches
    4. 20 inches
Click to see Answers
  1. B
  2. B
  3. B
  4. B
  5. B
  6. C
  7. B

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