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

attachment

agent47 · Answer

So for this you need the surface area of the cone without the base and half of the surface area of the sphere (that would be the ice cream scoop)

anonymous · Answer

yea im not dure how to plug the numbers in

anonymous · Answer

*sure

agent47 · Answer

|dw:1340464723368:dw|
You will need to know h for the surface area, so:
h^2=4^2-.5^2=16-.25=15.75

agent47 · Answer

h=sqrt(15.75)=3.9

anonymous · Answer

what do i do with that?

agent47 · Answer

Wait lol you don't even need the height for the surface area apparently

anonymous · Answer

simple formula would be $$\pi*r(r+l) where r is the radius of the cone and l is the slant height$$

agent47 · Answer

Sa of the cone = pi*r*s=pi*(1/2)*4=2pi

anonymous · Answer

@THE_PROPHET that luks like gibberish to me

agent47 · Answer

THE_PROPHET, in thise case we don't need the base, so your formula doesn't apply.

anonymous · Answer

*correction
$$\pi*r(l + 2r)$$

agent47 · Answer

The surface area of a sphere is 4pir^2, but in this case we just want half of a sphere, which would be half of that, or 2pi*r^2

anonymous · Answer

im still gtting large numbers

anonymous · Answer

nope surface area of the scoop is 2 * pi* r^2

agent47 · Answer

So:
Sa(sphere)=2*pi*(1/2)^2=2*pi*(1/4)=pi/2

anonymous · Answer

|dw:1340465037758:dw|