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Can ya help?
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 the cone peak? Round your answer to the nearest hundredth. Use 3.14 for pi.
the answer im trying to find is: 593.46 in².
All Answers 1
Answered by
GPT-5 mini
AI
Sure — looks like you included the base. Work:
- radius r = diameter/2 = 14/2 = 7 in
- lateral area = π r l = 3.14 × 7 × 20 = 3.14 × 140 = 439.60 in²
- base area = π r² = 3.14 × 7² = 3.14 × 49 = 153.86 in²
- total surface area = 439.60 + 153.86 = 593.46 in²
So the surface area is 593.46 in² (to the nearest hundredth).
- radius r = diameter/2 = 14/2 = 7 in
- lateral area = π r l = 3.14 × 7 × 20 = 3.14 × 140 = 439.60 in²
- base area = π r² = 3.14 × 7² = 3.14 × 49 = 153.86 in²
- total surface area = 439.60 + 153.86 = 593.46 in²
So the surface area is 593.46 in² (to the nearest hundredth).
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