Claire says that in order to calculate the surface area of the cone, she needs to use 8 in. Miles says that in order to calculate the surface area of the cone, he needs to use 9 in. Who is correct and why?
(1 point)
Neither Claire nor Miles is correct. In order to calculate the surface area of a cone, you need to know the radius of the base (r) and the slant height (s), in addition to the height of the cone (h). The formula for calculating the surface area of a cone is A = πr(r + s), where A is the surface area. Just knowing the numbers 8 in. or 9 in. alone is not enough information to calculate the surface area of the cone.
the height is 8 in the slant height is 9. and the diameter is 7 n.
If the height of the cone is 8 inches, the slant height is 9 inches, and the diameter is 7 inches, then Miles is correct.
To calculate the surface area of a cone, you need both the radius of the base (which can be calculated from the diameter) and the slant height. The radius is half the diameter, so in this case, the radius is 7 inches / 2 = 3.5 inches.
The formula for calculating the surface area of a cone is A = πr(r + s), where A is the surface area, r is the radius, and s is the slant height.
Using the values given, the surface area of the cone would be:
A = π*3.5(3.5 + 9) ≈ 3.14*3.5(12.5) ≈ 109.38 in²
Therefore, Miles is correct because he has all the necessary information to calculate the surface area of the cone.