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

Answer 1

`V_(1) = (1)/(3) * \pi * r^(2)* h= (3.14* 24^(2) *6)/(3) =3617.28 \\ V_(2) = \pi * r^(2)* h \\ 3617.28=3.14* 16^(2) *h \\ h= (3617.28)/(3.14* 16^(2)) =4.5`