Given ABC with incenter D, find mACD if mACB = 3x + 54 and m ACD = x + 31.

Given:

In triangle ABC, D is incenter m∠ACB = 3x + 54 and m∠ACD = x + 31.

To find:

m∠ACD.

Solution:

We know that,

Incenter of a triangle is the intersection point of all angle bisectors.

     ...(i)

Now,

      [Using (i)]

Substitute the values, we get

The value of x is 8.

Therefore, the measure of angle ACD is 39 degrees.

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !

i think the correct option is the second option.