Math

Truncated Cone Calculator

Find the volume, slant height and lateral area of a frustum (truncated cone).

Calculated Output

Volume 410.5

Slant height 8.246

Lateral area 207.25

Formula: V = ⅓πh(R² + Rr + r²)

Step-by-Step Breakdown

1. Values used:

2. Bottom radius = 5

3. Top radius = 3

4. Height = 8

6. Volume = 410.5

7. Slant height = 8.246

8. Lateral area = 207.25

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The math behind it

Volume = ⅓πh(R² + Rr + r²). Slant height = √(h² + (R − r)²). Lateral area = π(R + r)·slant.

R = 5, r = 3, h = 8 → volume ≈ 410.5.

What if R equals r?

It becomes a cylinder, V = πR²h.