Answer:
h=4/3 r Base area =27(pi)/16 h^2
Step-by-step explanation:
The Volume of the following solids are
Cylinder: (pi)r^2 h
Sphere:4/3 (pi) r^3
Pyramid: 1/3(base area) h
Assuming that the Volume is the same in all three solids
(pi)r^2 h= 4/3 (pi) r^3
Simplify
h=4/3 r
(pi) r^2 h= 1/3(Base area)h
Simplify
(pi) r^2= 1/3 base area
substitute r=3/4 h
(pi) 9/16 h^2=1/3 base area
Base area =27(pi)/16 h^2
