The formula for the surface area of a cone is:
SA = πr² + πrs
where r is the radius of the base and s is the slant height of the cone. To find s, we can use the Pythagorean theorem:
s² = r² + h²
where h is the height of the cone. We're not given the height of the cone, but we can use the radius and the given slant height of 17 inches to find it:
h² = s² - r²
h² = 17² - 14²
h² = 225
h = 15
Now we can plug in the values we have into the formula for SA:
SA = π(14)² + π(14)(17)
SA = π(196) + π(238)
SA = 194.89 + 747.7
SA = 942.59
Rounding to the nearest whole number, the surface area of the cone is 943 square inches, which is closest to answer choice D.
Therefore, the correct answer is D. 1005 in2.
What is the surface area of the cone below figures are not drawn to scale round your answer to the nearest whole number
14 in radius
17 in
A. 628in 2
B. 578in 2
C.528 in2
D.1005 in2
1 answer