Question

A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

15 in3
20 in3
25 in3
30 in3

Answer 1

Volume of Cone: 1/3 Bh where B is the area of the base 1/3 Bh = 5 Bh = 15 B = 15/h The cylinder has the same base area as the cone. Volume of Cylinder: V = B*h B = V/h and B = 15/h The height of the cone and the cylinder are the same. V/h = 15/h Volume of Cylinder = 15.

Answer 2

cone volume is
(1/3)*(PI)*(r^2)*h
5=(1/3)*(PI)*(r^2)*h
(r^2)*h=4.774648
cylinder outside cone volume is
(PI)*(r^2)*h
V=(PI)*4.774648
V=15 in3

so your first answer would be correct 15 in3