pdf Volume Of Cones, Cylinders And Spheres In Terms Of Pi

This worksheet provides focused practice with finding the volume of cones, cylinders, and spheres while expressing answers in terms of \( \pi \). Students must identify the correct formula for each solid and apply it accurately based on the given dimensions.

The problems include a mix of cones using \( V = \frac{1}{3}\pi r^2 h \), cylinders using \( V = \pi r^2 h \), and spheres using \( V = \frac{4}{3}\pi r^3 \). Because each solid is presented visually with labeled measurements, students must carefully interpret whether a radius or diameter is provided and select the appropriate formula.

All answers are written in exact form using \( \pi \), reinforcing algebraic precision and eliminating rounding errors. With eight total problems and a variety of metric and customary units, this resource works well for review, independent practice, or assessment of volume fluency across multiple solids.

Skills Assessed

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

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

• Applying \( V = \frac{4}{3}\pi r^3 \) for spheres

• Expressing answers in terms of \( \pi \)

• Distinguishing between radius and diameter

• Working with metric and customary units

Details

• 2 pages

• 8 volume problems

• Cones, cylinders, and spheres

• Answer key included

ID# 0818