It depends on what information you do have. That is not made clear in the question.
Why do you need to FIND the slant height if you have the [lateral height and] slant height?
Slant height is 39.98 cm
Assuming it is a right cone, use Pythagoras - slant height = hypotenuse, other two sides = radius of base, and height.
By using trigonometry or Pythagoras' theorem
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.
Why do you need to FIND the slant height if you have the [lateral height and] slant height?
the slant height is always 2 units bigger then the height
To find the volume of a slanted cylinder, you can use the formula for the volume of a standard cylinder, which is ( V = \pi r^2 h ), where ( r ) is the radius and ( h ) is the height. However, for a slanted cylinder, the vertical height (the perpendicular distance between the bases) is used instead of the slant height. If you know the slant height and the angle of inclination, you can calculate the vertical height using trigonometric functions. Ultimately, the volume remains the same as that of a vertical cylinder with the same radius and vertical height.
(slant height)2= (height)2+(1/2 side)2
Slant height is 39.98 cm
Knowing the slant height helps because it represents the height of the triangle that makes up each lateral face. So, the slant height helps you to find the surface area of each lateral face.
Assuming it is a right cone, use Pythagoras - slant height = hypotenuse, other two sides = radius of base, and height.
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.
I don't know not mine
By using trigonometry or Pythagoras' theorem
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.
area base hight