7.G.5

Investigate the relationship between three-dimensional geometric shapes;

Example Problems
A barrel contains of oil.
All of the oil is then transferred into a different cylindrical container that has a radius of
.

What will the height of the oil be in the new container?
A drum contains of oil.
All of the oil is then transferred into a different cylindrical container that has a
radius of .

What will the
height of the oil be in the new container?
A sphere with a radius of 10 cm is melted and recast into a cylinder with a radius of 5 cm.

What is the height of the cylinder?
Either enter an exact answer in terms of
or use 3.14 for .
Goblins

1-on-1 AI tutoring aligned to 7.G.5. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.

Free for teachers, forever →