Question

Bobbie is making waffle cones from scratch. Use the Pythagorean Theorem to find the slant height l of the cone if the radius is 2 inches and the height is 6 inches

Answer 1

To find the slant height of the cone, we can use the Pythagorean Theorem. The slant height is approximately 6.325 inches.

Step-by-step explanation:

To find the slant height (l) of the cone, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In this case, the height of the cone (a) is 6 inches and the radius (b) is 2 inches. So, we can write the equation as:

c^2 = a^2 + b^2

Substituting the values, we get:

c^2 = 6^2 + 2^2

c^2 = 36 + 4

c^2 = 40

Taking the square root of both sides, we get:

c = √40

c ≈ 6.325 inches

So, the slant height of the cone is approximately 6.325 inches.