Grade 10 Math · Cylinders
A circle taken for a walk
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A circle taken for a walk

Meet π\pi properly — the Greek letter pi, said pie, worth about 3.14159. It's the circle's own number: every circle's distance around is π times its distance across, no exceptions, ever. A cylinder is a circle taken for a walk, so its volume stacks the circle floor up the height: V=πr2hV = \pi r^2 h — read aloud: V equals pi r squared h, with rr the radius of the circle floor, hh the height it stands, and VV the volume it holds.

Two habits keep cylinders honest. First, the square touches ONLY the radius — πr2\pi r^2 means π × r × r. Second, make sure you're actually holding the radius: problems love to hand you the diameter, the full width, and the radius is half of it. Feed the formula a diameter and the answer comes out four times too proud — the square doubles the damage.