Question

Two cones have a scale factor of 2 : 5. The smaller cone has a surface area of 96(pi) square yards. Find the surface area of the larger cone in terms of pi.
Help if you can.

Answer 1

area goes with the square, so if the scale factor is 2:5 area ratio is 4 : 25

Answer 2

How would I solve this? I am completely lost. Not to mention but my entire class also had wrong answers.

Answer 3

\[96\pi\] is the smaller one right?

Answer 4

you want the larger one
solve \[\frac{25}{4}=\frac{x}{96\pi}\] via \[x=\frac{25\times 96\pi}{4}\] canecel first multiply last

Answer 5

What would I cancel out? I don't see anything to cancel out. If nothing, I come to 600(pi)

Answer 6

Which sounds incredibly wrong.

Answer 7

4 goes in to 96 evenly

Answer 8

But it can't go evenly into 25. Wouldn't I need to do it to both?

Answer 9

no

Answer 10

\[\frac{6\times 2}{3}=2\times 2=4\] 3 goes in to 6 but not in to 2

Answer 11

in any case your answer \(600\pi\) is right

Answer 12

Alright then thank you.

Answer 13

not sure why you think it is incredibly wrong

Answer 14

we can do another easy example if you like

Answer 15

I have another problem along the same lines if you want to do that as well.

Answer 16

ok if i can

Answer 17

Two spheres have a scale factor of 3 : 8. The smaller sphere has a volume of 54(pi) cubic meters. Find the volume of the larger sphere in terms of Pi.

Answer 18

area goes with the square, volume with the cube
like cubic inches etc

Answer 19

what is 3 cubed?

Answer 20

i.e. \[3^3\] or \[3\times 3\times 3\]?

Answer 21

27

Answer 22

good
and 8 cubed ?

Answer 23

512

Answer 24

solve \[\frac{512}{27}=\frac{x}{54\pi}\]

Answer 25

via \[x=\frac{512\times 54\pi}{27}\] cancel first multiply last

Answer 26

1024(pi)?

Answer 27

yup

Answer 28

Thanks!