Back to Know the formulas for the volumes of cones, cylinders, and spheres — Problem 1 · Task Set 29

Exercises: Volume Formulas for Cylinders, Cones, and Spheres

Work through each section in order. Use the formulas V=πr2hV = \pi r^2 h (cylinder), V=13πr2hV = \frac{1}{3}\pi r^2 h (cone), and V=43πr3V = \frac{4}{3}\pi r^3 (sphere). Leave answers in terms of π\pi unless a problem asks for a decimal (use π3.14\pi \approx 3.14). Always check whether you are given the radius or the diameter.

Grade 8·22 problems·~35 min·Common Core Math - Grade 8·container·8-g-c-9
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Fluency Practice

A vertical cylinder with radius labeled 3 and height labeled 7.
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Find the volume of the cylinder shown. Leave your answer in terms of π\pi (for example, 63π63\pi).