To find the surface area of the cone peak, we first need to find the radius of the base of the cone.
Since the diameter of the base is 14 inches, the radius is half of the diameter, so the radius is 7 inches.
Now, we can use the formula for the surface area of a cone:
Surface Area = πr(r + √(r^2 + h^2))
where r is the radius and h is the slant height.
Plugging in the values we have:
Surface Area = 3.14 * 7(7 + √(7^2 + 20^2))
Surface Area = 3.14 * 7(7 + √(49 + 400))
Surface Area = 3.14 * 7(7 + √449)
Surface Area = 3.14 * 7(7 + 21.18)
Surface Area = 3.14 * 7(28.18)
Surface Area = 3.14 * 197.26
Surface Area = 619.3644
Therefore, the surface area of the cone peak is approximately 619.36 square inches.
Elias making a model Castle at a clay. One of the roof peeks is in the shape of a comb of the diameter of 14 in a slant height of 20 in what is the surface area of the cone peak. Round to the nearest hundredth use 3.14 for pi
1 answer
1 answer