Cone Calculator – Volume and Surface Area
Find slant height, volume, lateral area and total surface area of a right circular cone.
Formula
l=√(r²+h²); V=πr²h/3; Aₗ=πrl; A=πr(l+r).
Base radius r: 3 cm · Perpendicular height h: 4 cm · Slant height l ≈ 100×sqrt((3 cm × 0.01 m/cm)^2+(4 cm × 0.01 m/cm)^2) · Volume ≈ pi×(3 cm × 0.01 m/cm)^2×(4 cm × 0.01 m/cm)×1000000÷3 · Lateral area ≈ pi×(3 cm × 0.01 m/cm)×(5)×100 · Total surface area ≈ (47.1238898)+pi×(3 cm × 0.01 m/cm)^2×10000
How to use
- Enter the radius and its unit.
- Enter perpendicular height, not slant height.
- Read lengths in cm, areas in cm² and volume in cm³.
Examples
- r=3 cm and h=4 cm give l=5 cm and V≈37.699112 cm³.
Frequently asked questions
Which cone is supported?
A right circular cone with its tip directly above the center of the base.
Does total area include the base?
Yes. Total area equals curved lateral area plus the circular base.
Can the inputs use different units?
Yes. Each dimension is converted through the shared length units.
Sources
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