Eli is making a model castle out of clay. One of the roof 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 tthe cone peak? round your answer to the nearest hundredth. Use 3.14 for pi.
The formula for the surface area of a cone is given by:
Surface Area = π * r * l,
where r is the radius (diameter/2) of the base of the cone and l is the slant height of the cone.
Given that the diameter of the cone is 14 inches, the radius (r) is 14/2 = 7 inches. The slant height (l) is given as 20 inches.
Using the given values, we can calculate the surface area of the cone as follows:
Surface Area = π * 7 * 20 = 3.14 * 7 * 20
Surface Area = 439.2 square inches.
Rounding to the nearest hundredth, the surface area of the cone peak is approximately 439.20 square inches.
Wrong
Apologies for the mistake.
The surface area of a cone is given by the formula:
Surface Area = π * r * (r + l),
where r is the radius (diameter/2) of the base of the cone and l is the slant height of the cone.
Given that the diameter of the cone is 14 inches, the radius (r) is 14/2 = 7 inches. The slant height (l) is given as 20 inches.
Using the given values, we can calculate the surface area of the cone as follows:
Surface Area = π * 7 * (7 + 20) = 3.14 * 7 * 27
Surface Area = 592.86 square inches.
Rounding to the nearest hundredth, the surface area of the cone peak is approximately 592.86 square inches.
It says it's 593.46
Apologies for the mistake. You are correct.
Using the correct formula:
Surface Area = π * r * (r + l),
where r is the radius (diameter/2) of the base of the cone and l is the slant height of the cone.
Given that the diameter of the cone is 14 inches, the radius (r) is 14/2 = 7 inches. The slant height (l) is given as 20 inches.
Using the given values, we can calculate the surface area of the cone as follows:
Surface Area = 3.14 * 7 * (7 + 20)
Surface Area = 3.14 * 7 * 27
Surface Area = 593.46 square inches.
Rounding to the nearest hundredth, the surface area of the cone peak is approximately 593.46 square inches.