G.GMD.B.4: Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.

Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.

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.

A hockey puck has a radius of

4 \text{ cm}

and a height of

2 \text{ cm}

. What is the volume of the puck?
Either enter an exact answer in terms of

\pi

or use

3.14

for

\pi

.

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