Its slant height is bigger. Think of it as a triangle: the hypotenuse is always the largest side, and the slant height is like the hypotenuse.
These dimensions are not possible for a right cone. The radius must be less than the slant height. If we reverse the dimensions (radius 6, slant height 9) the total surface area will be about 282.74 units2
slant edge is a height of a cone
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.
What do you mean by the radius of 4? Radius is used in circles. Do you mean that the breadth is 4? If so you can use Pythagoras's Theorem to find the 'slant height' (provided that it is a right-angle triangle) (slant height)2=52+42
452 cm3 (this assumes you mean 12 cm vertical height, not slant height). If the slant height is 12 cm then the volume changes to 392 cm3.
The slant height of a regular square pyramid is the distance from the apex to the midpoint of a base edge, forming a right triangle with half the base edge and the vertical height of the pyramid. Since the slant height is the hypotenuse of this triangle, it must be greater than either leg due to the Pythagorean theorem. Therefore, the slant height must be greater than the base edge length, ensuring that the apex is above the base.
no
Yes, the slant height of a regular square pyramid is longer than its altitude. The altitude is the perpendicular height from the apex to the center of the base, while the slant height is the distance from the apex to the midpoint of a side of the base. In a right triangle formed by the altitude, half the base side, and the slant height, the slant height serves as the hypotenuse, making it inherently longer than the altitude.
Why do you need to FIND the slant height if you have the [lateral height and] slant height?
Because the Hypotinuse is the sum of the square of the other two sides. The sum of the square of the base plus the square of the height equals the slope.
the slant height is always 2 units bigger then the height
the slant height is always 2 units bigger then the height
Its slant height is bigger. Think of it as a triangle: the hypotenuse is always the largest side, and the slant height is like the hypotenuse.
These dimensions are not possible for a right cone. The radius must be less than the slant height. If we reverse the dimensions (radius 6, slant height 9) the total surface area will be about 282.74 units2
The slant height cannot be larger than the base radius.
(slant height)2= (height)2+(1/2 side)2
Slant height is 16.16 cm