Length of a cone with radius of 2cm and height of 6cm and slant of 4cm
To find the length of a cone, we can use the Pythagorean theorem.
The slant height of a cone is the hypotenuse of a right triangle formed by the radius, height, and the slant height itself.
In this case, the radius is 2 cm and the height is 6 cm. Let us call the slant height "l".
Using the Pythagorean theorem, we can write:
l^2 = 2^2 + 6^2
l^2 = 4 + 36
l^2 = 40
Taking the square root of both sides:
l = √40
Simplifying:
l ≈ 6.32 cm
Therefore, the length of a cone with a radius of 2 cm, height of 6 cm, and slant height of 4 cm is approximately 6.32 cm.