Math

Cone Calculator

Find a cone's volume, slant height and surface area.

Calculated Output

Volume 84.823

Slant height 9.487

Surface area 117.69

Formula: V = 1/3 π r² h ; slant = √(r² + h²)

Step-by-Step Breakdown

1. Values used:

2. Base radius = 3

3. Height = 9

5. Volume = 84.823

6. Slant height = 9.487

7. Surface area = 117.69

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The math behind it

Volume = 1/3 × π × r² × h. Slant height = √(r² + h²). Surface = πr(r + slant).

r 3, h 9 → volume 84.8, slant 9.49.

Why 1/3?

A cone holds exactly one-third of the cylinder with the same base and height.