Question

A right circular cone has a lateral area of 1,280π ft.^2 and a base area of 512π ft.^2 Find the volume.

Answer 1

What are the equations for the LA and BA of a cone?

Answer 2

Do you know what is base area?

Answer 3

is the base area pi r ^2?
and the lateral is pi rl

Answer 4

Yes now put
Base area =512π
And lateral area=1280π
And find r,l?

Answer 5

Can you do this..

Answer 6

the r = 22.63 am i right?

Answer 7

Don't convert it to decimal keep it in square root form so r=√(512)

Answer 8

Now what is l

Answer 9

l = 40 square root 2?

Answer 10

Correct now you know r=16√2
l=40√2 ,try to find altitude

Answer 11

i'm sorry but what is the formula of altitude in cone?

Answer 12

h^2=l^2-r^2

Answer 13

\[8\sqrt{42}\]

Answer 14

?

Answer 15

That should be correct

Answer 16

and then what will be next step?

Answer 17

Now put this in 1/3πr^2h

Answer 18

and the answer is 27,797.98. right?

Answer 19

Yes ,I got this too

Answer 20

yay! thank you again and again. :))

Answer 21

~27798

Answer 22

Welcome

Answer 23

This one

Answer 24

yay! thank you again and again. :))