Have you ever wondered how much space is inside a basketball or a bubble? Welcome to the world of Volume of a Sphere!
In this guide, we’ll learn what a sphere is, how to find its volume, and why it’s important — all in a fun and easy way.
What is a Sphere?
A sphere is a round, 3D shape — like a basketball, a marble, or even the Earth!
It’s perfectly round all over.
👉 A sphere is different from a circle because a circle is flat (2D), but a sphere is fat and puffy (3D)!How to Find the Volume of a Sphere (Step-by-Step)
What is Volume?
Volume tells us how much space something takes up.
Think of filling a ball with air — the volume is how much air fits inside the ball!
📏 Formula for Volume of a Sphere
Here’s the magic formula:
Volume = (4/3) × π × r³
Where:
- π (pi) is about 3.14 (you can think of it like a special math number),
- r means the radius of the sphere (the distance from the center to the edge),
- r³ means radius × radius × radius (you multiply it three times).
🧩 How to Find the Volume of a Sphere Step-by-Step
- Find the radius of the sphere.
- Multiply the radius by itself three times (r × r × r).
- Multiply that answer by π (3.14).
- Multiply again by 4/3.
- Done! You get the volume!
🌟 Volume of a Sphere: Example 1
Let’s say a basketball has a radius of 7 cm.
Let’s find its volume!
👉 Step 1: r = 7 cm
👉 Step 2: r³ = 7 × 7 × 7 = 343
👉 Step 3: π × r³ = 3.14 × 343 = 1077.02
👉 Step 4: (4/3) × 1077.02 = 1436.03
✅ So, the volume is about 1436 cubic centimeters!
🌟 Volume of a Sphere:Example 2
A marble has a radius of 1.5 cm. Find its volume.
👉 Step 1: r = 1.5 cm
👉 Step 2: r³ = 1.5 × 1.5 × 1.5 = 3.375
👉 Step 3: π × r³ = 3.14 × 3.375 = 10.5975
👉 Step 4: (4/3) × 10.5975 = 14.13
✅ The marble’s volume is about 14.13 cubic centimeters!
💡 Quick Tip:
If you know the diameter (distance across the whole sphere),
just divide it by 2 to get the radius!
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