pdf Find The Missing Radius Length - Cylinders And Cones

This worksheet focuses on finding the missing radius of cylinders and cones when the volume and height are given. Students must work backward using the volume formulas \( V = \pi r^2 h \) for cylinders and \( V = \frac{1}{3}\pi r^2 h \) for cones, reinforcing algebraic reasoning within geometric contexts.

Each problem provides volume in terms of \( \pi \), which allows students to simplify expressions efficiently before isolating \( r^2 \). Students then solve for the radius by dividing appropriately and taking the square root, rounding final answers to the nearest tenth. This structure strengthens connections between geometry formulas and solving equations.

The included step-by-step solutions model how to substitute values, simplify expressions, isolate the variable, and apply square roots correctly. Because both cones and cylinders are included, students must distinguish between formulas and apply the correct one in each situation.

Skills Assessed

• Applying \( V = \pi r^2 h \) for cylinders

• Applying \( V = \frac{1}{3}\pi r^2 h \) for cones

• Solving for a missing radius

• Isolating variables in multi-step equations

• Taking square roots accurately

• Rounding to the nearest tenth

• Working with volume expressed in terms of \( \pi \)

Details

• 2 pages

• 4 problems (cylinders and cones)

• Step-by-step solutions included

• Answer key included

ID# 0841