A cone-shaped piece of baker’s chocolate has a radius of 3 cm and a height of 9 cm. Samia shaves off some of the chocolate. The remaining piece is still shaped like a cone with a radius of 3 cm, but the height is 6 cm.

How much chocolate did Samia shave off?
Use 3.14 to approximate pi and express your final answer in hundredths.

cm3

Question

A cone-shaped piece of baker’s chocolate has a radius of 3 cm and a height of 9 cm. Samia shaves off some of the chocolate. The remaining piece is still shaped like a cone with a radius of 3 cm, but the height is 6 cm.
 
How much chocolate did Samia shave off?
Use 3.14 to approximate pi and express your final answer in hundredths.
 
  cm3

twizttiez · Answer

@Data_LG2

anonymous · Answer

do you know the formula for the volume of a cone?

twizttiez · Answer

The radius multiplied by 3.14 right?

anonymous · Answer

kind of...  but it's incomplete
here it is:

$\sf \Large V= \frac{ \pi r^2 h}{3}$

where r is the radius, h is the height and pi is equal to 3.14.

Now let's first calculate the original volume of the cone. It has r= 3 , h= 9.
Plug the values in the formula, what will you get?

twizttiez · Answer

Okaii one second

twizttiez · Answer

Sorry I'm dealing with something I got 84.78

anonymous · Answer

it's okay :)
that's right. we'll use the value later.
Now calculate the new volume of the cone. The original cone is turned into a smaller cone that has r= 3 and h=6, what is the volume of the smaller cone?

twizttiez · Answer

56.52?

anonymous · Answer

right :)

last step, subtract that volume to the volume we calculated before.

twizttiez · Answer

28.26??

anonymous · Answer

yes, good job!
p.s. don't forget the unit cm^3 :)

twizttiez · Answer

Oh yeah XD thanks so much

anonymous · Answer

np ;)