Solve cone radius 3, height 7

Problem

$V = \tfrac{1}{3}\pi r^2 h,\ r=3,\ h=7$

Step-by-step solution

Cone volume: $V = \tfrac{1}{3}\pi r^2 h$ .
Substitute: $V = \tfrac{1}{3}\pi \cdot 9 \cdot 7 = 21\pi \approx 65.97$ .
Note factor of 1/3 — cone is one-third of cylinder with same base + height.

Answer

$V = 21\pi \approx 65.97$

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