✨ GEOMETRY SOLVER

Sphere Volume vs Hemisphere Volume: Formulas & Solved Comparisons

✓ Instant 60fps Calc
✓ 3D Interactive Model
✓ Step-by-Step Proof
✓ 100% Free
🧮

Sphere Volume Calculator

Formula: V = ⁴⁄₃ × π × r³
Instant 60fps
Sphere Volume
--
Calculating...
📑 Table of Contents Quick Navigation

Hemisphere is Exactly Half of a Sphere

Sphere Volume: V = ⁴⁄₃πr³
Hemisphere Volume: V = ½ × (⁴⁄₃πr³) = ⅔πr³
Sphere Surface Area: A = 4πr²
Hemisphere Curved Area: A_curved = 2πr²
Hemisphere Total Area: A_total = 2πr² + πr² = 3πr²
Frequently Asked Questions

Common Questions About Sphere Volume vs Hemisphere Volume: Formulas & Solved Comparisons

V = 2/3 π r³, exactly half the volume of a complete sphere.
Explore More

Related Sphere Calculators & Formulas

🔵

Sphere Volume Calculator

Calculate exact cubic volume from radius or diameter with 3D model.

Open Calculator →
🌐

Surface Area Calculator

Compute outer boundary surface area using formula A = 4πr².

Open Calculator →
📏

Sphere Radius Calculator

Find radius from known volume, surface area, or circumference.

Open Calculator →
📐

Sphere Diameter Calculator

Direct diameter calculations from radius or internal volume.

Open Calculator →
⭕

Circumference Calculator

Calculate great circle equator perimeter length using C = 2πr.

Open Calculator →
📜

Why Is Sphere Volume 4/3πr³?

Read Archimedes' ancient discovery and modern calculus proof.

Read Guide →