Answer:
The volume of the cone is 10 units^3
Step-by-step explanation:
step 1
Find the equation of the volume of the cylinder
we know that
The volume of a cylinder is equal to
Vcylinder=pi r^{2} h
In this problem
Vcylinder=30 units^3
so
30=pi r^{2} h-----> equation A
step 2
Find the volume of the cone
we know that
The volume of the cone is equal to
Vcone=(1/3)pi r^{2} h -----> equation B
substitute equation A in equation B
Vcone=(1/3)(Vcylinder)
Vcone=(1/3)(30)
Vcone=10 units^3
