Question

find the slant height of a cone with surface area 103.67ft^2 and radius 3ft

Answer 1

is it 8

Answer 2

The formula for the curved surface of a cone is
\[A=\pi \times r \times l\]
\[l=\frac{A}{\pi \times r}=\frac{103.67}{\pi \times 3}\]

Answer 3

@babymambo13 Can you find the slant height now?

Answer 4

i got 11.005307

Answer 5

Your answer is correct if you use 3.14 as the value of pi.

Answer 6

its not one of the answeers

Answer 7

I expect that 11 is one of the answer choices.

Answer 8

no the answers they have is 6ft, 9.72ft, 19.44ft, 8ft

Answer 9

So to calculate the slant height we need to find the lateral area by subtracting the area of the base from the total area.
\[lateral\ area=103.67-(\pi \times r ^{2})=75.3957\]
\[l=\frac{A}{\pi \times 3}=\frac{75.3957}{\pi \times 3}\]

Answer 10

its 8 ft

Answer 11

i knew it

Answer 12

Thank you

Answer 13

Yes, your original choice was correct :)
You're welcome :)