A package of modeling clay was shaped like a cone with a radius of 24 cm and a height of 6 cm. Miriam used all the clay to make a cylinder with a radius of 16 cm.

What was the height of the cylinder?
Use 3.14 to approximate pi, and express your final answer IN TENTHS.

__cm

Question

A package of modeling clay was shaped like a cone with a radius of 24 cm and a height of 6 cm. Miriam used all the clay to make a cylinder with a radius of 16 cm.
 
What was the height of the cylinder?
Use 3.14 to approximate pi, and express your final answer IN TENTHS.

__cm

anonymous · Answer

@dan815

welshfella · Answer

here you have to realise that the volume of the cone will be same as the volume of the cylinder

anonymous · Answer

so the volume is 3619.11 so i would divide that by 16^2 and 3.14?

welshfella · Answer

Volume of the cone = (1/3) pi r^2 h = (1/3) pi 24^2 * 6

volume of the cylinder  is pi r^2 h  = pi 16^2 h

equate these 2 and solve for h

anonymous · Answer

Is the height 4.5 cm?

welshfella · Answer

yes

anonymous · Answer

Thanks I didn't know that the cylinder and Cone had the same volume!

welshfella · Answer

they must have because they are both made of the same amount of clay

anonymous · Answer

Yeah that makes sense i wasn't reading like that! Thanks again!