Question

Find the surface area of the figure. Use 3.14 as an approximation for pi.​

Answer 1

Answer:

239.34 ft²

Step-by-step explanation:

The lateral surface area of the entire cone is 188.40 ft² and the lateral surface area of the missing cone is 112.34 ft².

Therefore, the lateral surface area of the given stand cut from the right circular cone is (188.4 - 112.34) = 76.06 ft²

Hence, the total surface area of this given stand cut from the right circular cone = 76.06 + area of the two horizontal surfaces at top and at bottom.

= 76.06 + π × 4² + π × 6²

= 76.06 + 3.14(16 + 36)

= 76.06 + 163.28

= 239.34 ft² (Answer)