A package of modeling clay was shaped like a cone with a radius of 25 cm and a height of 7.2 cm. Miriam used all the clay to make a cylinder with a radius of 15 cm. What was the height of the cylinder? Express the answer to one decimal place and use 3.14 to approximate pi. cm

Answer 1

The volume of anything pointy with straight sides is (1/3) base area * height
V = (1/3)(pi)(25)^2 (7.2)
same V for second one
(1/3)(pi)(25)^2 (7.2)=(1/3)(pi)(15)^2 h
so
625 (7.2) = 225 h

h = (625/225)(7.2)
In fact you never even need pi