This calculator finds a cone's volume, slant height, and surface area for anyone working with funnels, roofs, or conical containers.
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Enter the base radius and perpendicular height. If slant height is requested, measure along the cone's side from the rim to the tip.
Slant height is s = square root of (radius^2 + height^2). Volume is V = (1/3) × pi × radius^2 × height, and total surface area is A = pi × radius^2 + pi × radius × slant height.
A cone with a radius of 3 cm and height of 4 cm has a slant height of 5 cm. Its volume is (1/3) × pi × 3^2 × 4 = 37.70 cm³, and its total surface area is pi × 3^2 + pi × 3 × 5 = 75.40 cm².
No. Vertical height runs straight from the tip to the center of the base, while slant height follows the cone's side.
Use the lateral area formula, A = pi × radius × slant height. This counts only the curved side.
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