Assuming that you're given the volume, the formula is
V = 1/3 * pi * r^2 * h
plug in r and V and solve for h
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the slant height of a right circular cone is the distance from any point on the circle to the apex of the cone . The slant height of a cone is given by the formula ,√r2+h2 where r is the radius of the circle and h is the height from the center of the circle to the apex of the cone.
A cone has two surfaces, lateral surface and its circular surface at the base.The surface area of a cone is the sum of the areas of these two surfaces, i.e. (1) area of the lateral surface and (2) area of its base.Let us consider a right circular cone to find its surface area.The lateral surface area of a right circular cone is π r lwhere,r is the radius of the circle at the bottom of the cone, andl is the lateral height of the coneThe surface area of the bottom circle of a cone is the same as for any circle, π r2Thus the total surface area of a right circular cone is: π r l + πr2 OR π r (l + r)
Assuming it is a right cone, use Pythagoras - slant height = hypotenuse, other two sides = radius of base, and height.
You use the formula for the volume of a right-circular cone:Volume = 1/3 (pi) x (radius of the base)2 x (height).Put the numbers you know into the formula, and it'll fix you right up.That's why it's so handy to know these formulas, or at least to knowwhere you can find one of them when you need it.
Uisng the lateral area and tha radius, you should be able to find the height of the cone. Using the height and radius as the legs of a right triangle, use the Pythagorean Theorem. The hypotenuse is the slant height.