Test questions for calculating cylinder height or radius

📚 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