DEFINITION
SOLVING
REAL WORLD
100
DEFINE VOLUME

the amount of space occupied by a three-dimensional object or the capacity a container holds

100

A cylinder has a radius of 5 cm and a height of 10 cm. Find its volume.

785 cm³

100

A water bottle is shaped like a cylinder with a radius of 3 cm and a height of 20 cm. What is the volume of the bottle?

565.2 cm³

200

DEFINE AREA

the amount of two-dimensional space inside a flat shape or boundary

200

A cylindrical water tank has a diameter of 14 m and a height of 18 m. Find its volume.

2,772 m³

200

A cylindrical water tank has a radius of 2.5 m and a height of 4 m. How many cubic meters of water can it hold?

78.5 m³

300

DEFINE RECTANGLE

is a flat two-dimensional shape with four straight sides and four right angles (90 degrees).

300

A cylinder has a volume of 3,850 cm³ and a radius of 7 cm. Find its height.

25 cm

300

NUGGETS

NUGGETS

400

DEFINE CIRCLE

a two-dimensional geometric shape made up of all points in a plane that sit at an exact equal distance from a fixed center point

400

A cylindrical container has a volume of 9,856 cm³ and a height of 32 cm. Find its radius.

9.93 cm

400

A cylindrical grain container can hold 15,700 cm³ of grain. If its radius is 10 cm, what is the height of the container?

50 cm

500

DEFINE CYLINDER

A cylinder is a three-dimensional geometric solid with two flat, parallel, and identical circular bases connected by a curved side surface

500

A cylindrical tank has a diameter of 20 cm. Its height is 2.5 times its radius. Find its volume.

7,850 cm³

500

A cylindrical swimming pool has a diameter of 12 m. Its depth is half of its radius. How many cubic meters of water are needed to completely fill the pool?

339.12 m³