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📦 Volume Calculator

Calculate the volume and surface area of any 3D shape — cube, sphere, cylinder, cone, rectangular prism, pyramid, triangular prism, and ellipsoid.

Example — Cylinder with r = 4, h = 10

Volume = π × r² × h = π × 16 × 10 ≈ 502.65 units³
Surface Area = 2π r(r + h) = 2π × 4 × 14 ≈ 351.86 units²

Frequently Asked Questions

Volume is the amount of 3-dimensional space occupied by a solid shape. It is measured in cubic units (m³, cm³, ft³, etc.). Volume tells you how much a container can hold.

Volume is the space an object occupies. Capacity is how much a container can hold (usually for liquids). They are numerically equal for hollow containers — 1 cm³ = 1 mL.

Volume of cylinder = π × r² × h, where r is the radius of the circular base and h is the height. For example, r = 3 cm and h = 5 cm gives V = π × 9 × 5 ≈ 141.37 cm³.

Surface area is the total area of all outer faces of a 3D shape (measured in square units). Volume is the space inside (measured in cubic units). A large volume does not always mean a large surface area.

V = (4/3) × π × r³. For a sphere of radius 5 cm: V = (4/3) × π × 125 ≈ 523.60 cm³. The surface area of the same sphere is 4 × π × 25 ≈ 314.16 cm².

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