Mrs.D Math · 8th Grade

TANK
TITAN

Volume of Cylinders · Geometry
🥤 Cylinders
💧 Volume
📐 V = Bh
📐 V = πr²h
🛢️ Real Tanks
🧮 Calculator Ready
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📚 Volume of Cylinders

The Formula

Volume = area of the circular base × the height. That’s V = Bh, and since the base is a circle: V = πr²h. Use 3.14 for π.

1
Square the radius first. Radius 2 means 2² = 4.
V = 3.14 × (2)² × 7
2
Multiply everything. 3.14 × 4 × 7 = 87.92
V ≈ 87.92 in³
⚠
Diameter given? Cut it in half first — the formula needs the radius.

Working Backwards

↕
Find the height: divide the volume by (3.14 × r²).
h = V ÷ (3.14 × r²)
↔
Find the radius: divide the volume by (3.14 × h), then take the square root.
r = √( V ÷ (3.14 × h) )

How to Play

📐
Volume of Cylinders — plain cylinders with a picture. Easy gives you the radius; Medium mixes in diameters, typed answers, and find-the-height; Hard works backwards for height and radius too.
🌍
Real World Cylinders — tanks, pools, silos, and cans. Watch for containers filled halfway, 2/3, or 3/4 of the way!
🧮
Calculator — tap the gold pill (bottom-left). It has x² and √ buttons. Try it in your head first — then verify!
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