Question

If a cone has a height of 8 inches and a side measurement of 10 inches, what is the radius of its base?

Answer 1

Answer:

The radius of its base is 6 inches

Step-by-step 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