Question

Wheel I has diameter 23.4. Wheel ll has diameter 18.0. Round the diameter of each wheel to the nearest inch. About how much farther will Wheel l travel in one rotation?

Answer 1

16 inch

Explanation:

Wheel I has diameter 23.4.

Wheel ll has diameter 18.0

• Diameter of Wheel 1 to the nearest inch = 23 inch

• Diameter of Wheel 2 to the nearest inch = 18 inch

The distance which each wheel will travel is determined by the circumference of the wheel.

Circumference of a Circle
`=\pi d`

Distance Traveled by Wheel 1 in One Rotation =
`23\pi`

Distance Traveled by Wheel 2 in One Rotation =
`18\pi`

Therefore, the distance which Wheel 1 travels further =
`23\pi-18\pi=5\pi =15.7 inch`

The distance farther is 16 inch to the nearest inch.

Answer 2

Wheel1 = 147inches , wheel 2 = 113inches

Wheel 1 will travel 147 revolutions.

Explanation:

Finding the circumference of both wheels

Wheel 1 = 2 pi r = 2 × 3.142 × 23.4 = 147.05 inches. To the nearest inches = 147inches

Wheel 2 = 2 pi × r = 2 × 3.142 × 18 = 113.11inches . To the nearest inches = 113inches.

I rotation = 1 revolution

In 1 rotation, wheel 1 will travel= 147 × 1 = 147 revolutions.