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The height would be The square root of the square of the slant surface length minus the square of the radius of the cone at the base.

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Q: How do you find the height of a cone if you have the slant height and the diameter?
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Related questions

How do you find the slant height of a cone if you have the lateral area and slant height?

Why do you need to FIND the slant height if you have the [lateral height and] slant height?


HOw to find the slant height of a cone?


How do you find the height of a cone if you have the slant height and the radius?

Assuming it is a right cone, use Pythagoras - slant height = hypotenuse, other two sides = radius of base, and height.


How do you find the surface area of a circular cone with a height of 3.76 ft and a base diameter of 5.74?

Entire surface area of a cone = (pi*radius2)+(pi*radius*slant length) Use Pythagoras' theorem to find the slant length


How do you find the radius and the slant height of a heap of sand in the shape of cone?

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.


How do you find the slant height in a cone?

By means of Pythagoras' theorem providing you are given the radius and perpendicular height of the cone


What is the formula to find the slant height of a cone?

area base hight


Find the length of the slant height of a cone with a radius of 15cm and a surface area of 1884cm square?

Slant height is 39.98 cm


Why do you use slant height to find curve surface area?

When you make a cone, you fold the cone along its slant height and thus you get the cone which is curved. So when you need to find the curved surface area (Which excludes the base) you need to use the same slant height that you folded the paper along which gave you the cone. Check out the links attached. It has some illustrations which will help.


How do you find the slant height of a cone if you have surface lateral and radius?

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.


How do you find the slant height of a cone using trigonometry?

Use Pythagoras' theorem


Find the volume of the cone?

Label t radius 6cm the height 8cm and the slant height 10cm