Find the surface area of the cone to the nearest whole unit.
7in.
8in.
226 in^2
88 in^2
377 in^2
138 in^2
The surface area of a cone can be calculated using the formula:
A = πr(r + √(h^2 + r^2)), where r is the radius of the base of the cone and h is the height of the cone.
Given that the radius (r) is 7 inches and the height (h) is 8 inches, we can substitute these values into the formula:
A = π(7)(7 + √(8^2 + 7^2))
A = π(7)(7 + √(64 + 49))
A = π(7)(7 + √113)
A = π(7)(7 + 10.63)
A = π(7)(17.63)
A = 110.32π
Calculating the value of 110.32 * π ≈ 346.43
Rounded to the nearest whole number, the surface area of the cone is approximately 346 in^2, so the closest answer is 377 in^2.