Calculate the slant height for the given cone. Round to the nearest tenth.

(explain?)
10.2 cm
11.4 cm
9.8 cm
12.0 cm (I picked this one)

oops nvm

heyy lunaa

To calculate the slant height of a cone, you can use the Pythagorean Theorem. The Pythagorean Theorem states that the square of the hypotenuse of a right triangle (in this case, the slant height) is equal to the sum of the squares of the other two sides.

In a cone, the slant height is the hypotenuse of a right triangle formed by the height of the cone and the radius of its base. The height and the slant height are perpendicular to each other, and the radius and slant height form a right triangle.

Let's calculate the slant height using the given measurements:

Height of the cone: 10.2 cm
Radius of the base: 12.0 cm

To use the Pythagorean Theorem, we need to find the length of the third side (the slant height). Let's call it "s."

Using the formula:
s^2 = r^2 + h^2

Substituting the values:
s^2 = 12.0^2 + 10.2^2
s^2 = 144 + 104.04
s^2 ≈ 248.04

Taking the square root of both sides to solve for s:
s ≈ √248.04
s ≈ 15.7 cm

Therefore, the slant height of the cone is approximately 15.7 cm.