Question

Please help :(
Given a soda can with a volume of 15 and a diameter of 2, what is the volume of a cone that fits perfectly inside the soda can?

Answer 1

@hartnn can you help me with this please?

Answer 2

for this you should have to know what is the volume of can...??? which is like a cylinder..??

Answer 3

so volume of a cylinder is V=πr^2h

Answer 4

So we know the soda can is a cylinder.

Volume of cylinder = 15
Diameter = 2
Radius = 1 [Because Diameter = 2 * radius]

So, what is the height of the cylinder?

Well, we can get an equation! What is the volume of the cylinder?

\[\pi * r^2 * h = 15\]

r = 1

So,

\[\pi * h = 15\]
\[h = \frac{15}{\pi}\]



So, the volume of the cone is given by \[\frac{1}{3} \pi * r^2 * h\]

Which is \[\frac{1}{3} (The ~~volume~~of~~the~~cylinder!)\]

What is the volume of the cylinder? = 15

What is the volume of the cone then?

PS

The calculation above was not required as we just saw :P

Are you getting this? :)

Answer 5

so the volume of a cone is..?????so you know..????

Answer 6

im so confused

Answer 7

so 1/3 times 15?

Answer 8

Wow akash has the perfect drawing

Answer 9

Yes @melanielovee4 :) volume = 1/3 times 15

Answer 10

basically, divide the volume of the cylinder by 3

Answer 11

so 5?

Answer 12

yeeepp..

Answer 13

ugh i love you guys so much thank you!!

Answer 14

same to you..!!!