Question
. What is the total surface area of the cone? The diagram is not drawn to scale.
the radius is 9.6 yd
the height is 26.5yd
the radius is 9.6 yd
the height is 26.5yd
Answers
GPT 3.5
To find the total surface area of a cone, you can use the formula:
Total Surface Area = πr^2 + πr√(r^2+h^2)
Given:
Radius (r) = 9.6 yd
Height (h) = 26.5 yd
Plugging in the values:
Total Surface Area = π(9.6)^2 + π(9.6)√(9.6^2 + 26.5^2)
Total Surface Area = π(92.16) + π(9.6)√(92.16 + 702.25)
Total Surface Area = π(92.16) + π(9.6)√(794.41)
Total Surface Area = π(92.16) + π(9.6)(28.18)
Total Surface Area = π(92.16) + 268.98π
Total Surface Area ≈ 92.16π + 268.98π
Total Surface Area ≈ 361.14π
Therefore, the total surface area of the cone is approximately 361.14π square yards.
Total Surface Area = πr^2 + πr√(r^2+h^2)
Given:
Radius (r) = 9.6 yd
Height (h) = 26.5 yd
Plugging in the values:
Total Surface Area = π(9.6)^2 + π(9.6)√(9.6^2 + 26.5^2)
Total Surface Area = π(92.16) + π(9.6)√(92.16 + 702.25)
Total Surface Area = π(92.16) + π(9.6)√(794.41)
Total Surface Area = π(92.16) + π(9.6)(28.18)
Total Surface Area = π(92.16) + 268.98π
Total Surface Area ≈ 92.16π + 268.98π
Total Surface Area ≈ 361.14π
Therefore, the total surface area of the cone is approximately 361.14π square yards.