Question

Jerry cuts a wedge from a $6$ -cm cylinder of bologna as shown by the dashed curve. Which answer choice is closest to the volume of his wedge in cubic centimeters?

$\ 48$

$\ 75$

$\ 151$

$\ 192$

$\ 603$

Answer: C

Concepts:cylinder volume estimation

Difficulty rating: 1240

Solution:

The cylinder has diameter $8$ cm, so its radius is $4$ cm. Its length is $6$ cm.

The whole cylinder has volume $\pi r^2h=\pi\cdot4^2\cdot6=96\pi$ .

The dashed cut takes half of the cylinder, so the wedge has volume $48\pi$ , which is about $151$ cubic centimeters.

Thus, C is the correct answer.

2008 AMC 8 Problem 21

Answer: C

Difficulty rating: 1240

Solution:

Problem 21 in Other Years