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

$V_{1} = \frac{1}{3} * \pi * r^{2}* h= \frac{3.14* 24^{2} *6}{3} =3617.28 \\ V_{2} = \pi * r^{2}* h \\ 3617.28=3.14* 16^{2} *h \\ h= \frac{3617.28}{3.14* 16^{2}} =4.5$