Mark is making a model castle out of clay . One of the root peaks is in the shape of a cone with a diameter of 14 inches and a slant height of 20 inches What is the surface area of the cone peak ? Round your to the hundredth Use 3.14 for pi point ) square inches
To find the surface area of the cone peak, we need to find the curved surface area of the cone.
The formula for the curved surface area of a cone is given by:
CSA = π * r * slant height
where CSA is the curved surface area, π is a constant approximately equal to 3.14, r is the radius of the base of the cone, and slant height is the distance from the vertex of the cone to any point on the circumference of its base.
Given that the diameter of the base of the cone is 14 inches, the radius (r) is half of the diameter, so r = 14/2 = 7 inches.
The slant height of the cone is given as 20 inches.
Plugging in these values into the formula, we get:
CSA = 3.14 * 7 * 20
CSA = 439.2 square inches (rounded to the hundredth)
Therefore, the surface area of the cone peak is 439.2 square inches.