The slant height of the cone itself is 4 inches, and the radius of the ice cream scoop on top is 0.5 inches. What is the approximate surface area of the entire ice cream cone with the scoop of ice cream?

Question

anonymous · Answer

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hero · Answer

Hint: Find the surface area of the cone, then find the surface area of the semicircle

hero · Answer

Make sure you subtract off the parts that are not a part of the surface area

anonymous · Answer

It's pi*radius*slant height + pi*radius squared.

I've done that, but I keep coming out with 7.8 which isn't an option

hero · Answer

Depending on how you calculated the surface area, I'd subtract off $4 \pi r$

anonymous · Answer

is there a formula for the semicircle? I've got the surface area formula for the cone

hero · Answer

Because the bottom portion of the cone and the semicircle both form a circle, but they are not included in the surface area

hero · Answer

Yeah, the formula for the semicircle is half the area of a circle. Find the area of a whole circle, then divide that in half. Then subtract off $2 \pi$.