G.MG.A.2: Apply concepts of density based on area and volume in modeling situations.

Apply concepts of density based on area and volume in modeling situations.

Example Problems

A gymnastics team uses a hemispherical chalk bowl with a radius of

7.5\text{ cm}

.

What is the capacity of the chalk bowl?
Round to the nearest cubic centimeter.

A volleyball is inflated from a radius of

10.5\text{ cm}

to a radius of

11.5\text{ cm}

.

Approximately how many cubic centimeters of air are added during inflation?
Round to the nearest cubic centimeter.

About how many cells are in the human body?
(You can assume that a cell is a sphere with radius

10^{-3}\text{ cm}

and that the density of a cell is approximately the density of water, which is

1\text{ g/cm}^3

.)

1-on-1 AI tutoring aligned to G.MG.A.2. 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.