A container of candy is shaped like a cylinder and has a volume of 125.6 cubic centimeters. If the height of the container is 10 centimeters, what is the radius of the container? Use 3.14 for pi.

To find the radius of a cylinder when given its volume and height, we can use the formula for the volume of a cylinder: \[ V = \pi r^2 h \] Plugging in the values you have: \[ 125.6 = 3.14 \times r^2 \times 10 \] This simplifies to: \[ 125.6 = 31.4 r^2 \] Now, divide both sides by 31.4: \[ r^2 = \frac{125.6}{31.4} \] This gives us: \[ r^2 = 4 \] Taking the square root of both sides, we find: \[ r = 2 \text{ centimeters} \] So, the radius of the container is 2 centimeters. --- Did you know that cylinders are not just useful for storing candy? In architecture and engineering, cylindrical shapes are often used for pillars and columns because they effectively distribute weight, making structures safer and more stable. Who knew candy containers could have such solid real-world implications? When tackling problems involving cylinders, remember to double-check your calculations, especially when substituting values into the formula. A common mistake is confusing the height and radius, which can lead to incorrect results. Always sketch a quick diagram to visualize the dimensions before diving into the math!