Scan QR code or get instant email to install app

Skip to content
#
Which has more volume: a 10-inch tall can with a diameter of 10 inches, or a 7\u00D710\u00D710-inch box?

### Related Information

Question:

A
can

explanation

1212The comparison is made between two solids, one a cylinder (the can) and the other a rectangular box. To help us visualize the comparison, let's use these sketches: The formula for the volume of a cylinder is: Volume = \uD835\uDF0B \u00D7 \u00D7 H, where H is the height of the cylinder The problem does not provide the radius. Instead, it gives the diameter as 10. We know that the radius of a circle is 1/2 of its diameter, or: r = inches We go back to the formula for volume and plug in the values r = 5 and \uD835\uDF0B = 3.14: Volume = 3.14 \u00D7 \u00D7 10 = 785 cubic inches Notes: We may actually directly solve for the volume using the formula V = \u00D7 \u00D7 H and get the same answer. Now, we're ready to solve for the volume of the box: Volume = length \u00D7 width \u00D7 height = 10 \u00D7 10 \u00D7 7 = 700 cubic inches Now, we see that the volume of the can is greater than that of the box.

Take more free practice tests for other GED topics with our ged practice test now!

Comments