What is the length of the cone? (1 point)
the base is 2cm, the perpendicular height is 6cm, and the slant height is 4cm
The length of the cone refers to the slant height of the cone. Given that the slant height is 4cm, the length of the cone is 4cm.
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To find the length of the cone, we need to determine the length of the slant height.
In a cone, the slant height (l) can be found using the Pythagorean theorem, which states that the square of the hypotenuse (the slant height) is equal to the sum of the squares of the other two sides (the base and the height).
In this case, the base (b) is 2cm and the height (h) is 6cm.
So, we can calculate the slant height (l) as follows:
l^2 = b^2 + h^2
l^2 = 2^2 + 6^2
l^2 = 4 + 36
l^2 = 40
Now, we can find the square root of both sides to get the value of l (slant height):
l ≈ √40
l ≈ 6.32
Therefore, the length of the cone (slant height) is approximately 6.32 cm.