Mrs.D Math · 8th Grade

SPHERE
FACTOR

Volume of Spheres · Geometry
🔵 Spheres
🧩 Volume
V = 43 π r³
🌐 Cube the Radius
🏀 Real-World Balls
📏 r = d ÷ 2
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📚 Volume of a Sphere

The Formula

V = 43 π r³

The volume of a sphere depends only on its radius. Cube the radius, multiply by π, then multiply by four-thirds.

1
Cube the radius first: r × r × r.
r = 5 → 5³ = 125
2
Multiply by π (use 3.14) and by 4, then divide by 3.
V = 4(3.14)(125) ÷ 3 = 1570 ÷ 3 ≈ 523
⚠
If you are given the diameter, cut it in half first!
d = 14 → r = 7

Worked Example (from the lesson video!)

✓
A ball has a diameter of 14 in. Radius = 14 ÷ 2 = 7.
✓
V = 43(3.14)(7)³ = 43(3.14)(343) = 4308.08 ÷ 3 ≈ 1436 in³

How to Play

🌐
Volume of Spheres — Straight formula practice. Some Easy answers stay in terms of π. Watch for Hard questions that flip it around and ask for the radius!
🏀
Real World Spheres — Basketballs, balloons, domes, and more. Medium questions may give the diameter — halve it first!
🎗
Mixed — Both question types together!
🧮
A calculator is in the bottom-left corner — it even has ∛ (cube root), x², and x³ buttons. Try it in your head first, then verify!
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