Question

Please help. Thank you.

Answer 1

The slant height is the diagonal distance from the base of your cone to the top point (aka apex) of the cone.

It can be found by creating a right triangle with the radius of the base as one leg of the triangle (blue side in the picture) and the height of the cone as the other leg of the triangle (green side in the picture). You would be looking for the hypotenuse of the triangle (the orange side opposite the right angle), since that length is equal to the slant height of the cone.

Remember to find the hypotenuse of a right triangle, you can use the Pythagorean Theorem:

`a^(2) + b^(2) = c^(2)`
where a and b = the sides of your triangle and c = the hypotenuse.

Since you know the sides are 11m and 16m, let's say a = 11 and b = 16 (but you can switch the values of the variables around, doesn't matter!). Using the Pythagorean Theorem, that means the hypotenuse/slant height of the cone would be:

`a^(2) + b^(2) = c^(2)\\ 11^(2) + 16^(2) = c^(2)\\ c = \sqrt{11^(2) + 16^(2)} \\ c = √(377) \\ c = 19.4 \approx 19`

The slant height of your cone is about D) 19m.

Answer 2

the slant height is 19.42

so if we round it, it will be 19 m



good luck