Answer:
The radius of its base is 6 inches
Explanation:
The radius of the base of a cone r , the slant height of the cone l and the height of the cone h forms a right triangle, with the slant height being the hypotenuse of the right triangle
Mathematically, since we have a right triangle, we can find the radius of the base by the use of Pythagoras’ theorem
According to Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus,
l^2 = r^2 + h^2
l = 10 inches
r = ?
h = 8 inches
10^2 = r^2 + 8^2
100 = r^2 + 64
r^2 = 100-64
r^2 = 36
r = √(36)
r = 6 inches