Using the Pythagorean theorem, we can find the length of the height of the cone.
a^2 + b^2 = c^2
Where:
a = radius = 10 feet
b = height of the cone
c = slant height of the cone = 13 feet
Substituting the given values into the equation:
10^2 + b^2 = 13^2
100 + b^2 = 169
b^2 = 169 - 100
b^2 = 69
Taking the square root of both sides to solve for b:
b = √69
So, the length of the height of the cone is approximately √69 feet.
Observe the cone figure below. The slant height, l, is the diagonal length of the cone. The cone stands 13 feet tall and has a radius of 10, what is the length of the height of the cone? a2 +b2 = c2
find the length of the height of the cone
3 answers
It says that’s wrong.
I apologize for the incorrect response. Let's go through the calculations again.
Using the Pythagorean theorem, we have:
a^2 + b^2 = c^2
where:
a = radius = 10 feet
b = height of the cone
c = slant height of the cone = 13 feet
Substituting the given values into the equation:
10^2 + b^2 = 13^2
100 + b^2 = 169
b^2 = 169 - 100
b^2 = 69
Taking the square root of both sides to solve for b:
b = ±√69
Since the height of the cone cannot be negative, the length of the height of the cone is approximately √69 feet or about 8.31 feet.
Using the Pythagorean theorem, we have:
a^2 + b^2 = c^2
where:
a = radius = 10 feet
b = height of the cone
c = slant height of the cone = 13 feet
Substituting the given values into the equation:
10^2 + b^2 = 13^2
100 + b^2 = 169
b^2 = 169 - 100
b^2 = 69
Taking the square root of both sides to solve for b:
b = ±√69
Since the height of the cone cannot be negative, the length of the height of the cone is approximately √69 feet or about 8.31 feet.