Question

MEDAL & FAN ANYBODY ?
Find the exact total surface area of a cone that has a slant height of 24 inches and a radius of 3 inches.
a. 678.24 in.2
b. 254.34 in.2
c. 508.68 in.2
d. 226.08 in.2

Answer 1

@sleepyjess please help

Answer 2

that is slant height correct?

Answer 3

@sleepyjess yes...

Answer 4

ok just making sure
\(A=\pi r(r+\sqrt{h^2+r^2)}\)

Answer 5

but to use that formula we need the height, not the slant

Answer 6

to find h we use \(\sqrt{l^2-r^2}\)

Answer 7

so 24.2 times 3.2

Answer 8

no (24*24)-(3*3)

Answer 9

@sleepyjess thats what i meant .

Answer 10

ok then yes lol

Answer 11

@sleepyjess i got 567

Answer 12

ok and the square root of 567 is 23.8

Answer 13

@sleepyjess can you post your report on my question please?

Answer 14

@sleepyjess what would i do from there ?

Answer 15

yeah give me 5 min? @Monster1234

Answer 16

Omg thank you!

Answer 17

now use \(A=\pi r(r+\sqrt{h^2+r^2)}\) using 3 for r and 23.8 for h

Answer 18

@sleepyjess i got 2017.7 ?

Answer 19

hmmm i got approx 311
i rounded most of my stuff but it still should have come close to one of the answers
lets see what went wrong
\(\sqrt{23.8^2+3^2}~~~~~\sqrt{566.44+9}~~~~~~\sqrt{575.44}~~~~~~23.9883304963\)
now we have \(\pi 3(3+23.9883304963)~~~~~~\pi 3(26.9883304963)\) \(\pi 3=9.42\)
\(9.42(26.9883304963)=253.96018997\)

Answer 20

with some things slightly rounded so B is probably the answer they are looking for here