geometry · worked example

Solve cylinder radius 3, height 10

Method: cylinder volume formula. Verified step-by-step solution with our free AI math solver.
Problem

V=πr2h, r=3, h=10V = \pi r^2 h,\ r=3,\ h=10

Step-by-step solution

  1. Cylinder volume: V=πr2hV = \pi r^2 h.

  2. Substitute r=3r = 3, h=10h = 10: V=π910=90πV = \pi \cdot 9 \cdot 10 = 90\pi.

  3. Approximate: 282.74\approx 282.74.

Answer

V=90π282.74V = 90\pi \approx 282.74

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