Question

An hourglass consists of two sets of congruent composite figures on either end. Each composite figure is made up of a cone and a cylinder.


Each cone of the hourglass has a height of 15 millimeters. The total height of the sand within the top portion of the hourglass is 45 millimeters. The radius of both cylinder and cone is 6 millimeters. Sand drips from the top of the hourglass to the bottom at a rate of 10π cubic millimeters per second. How many seconds will it take until all of the sand has dripped to the bottom of the hourglass?

a.

Answer 1

a. 126
b. 108
c. 18
d. 29

Answer 2

A similar but not identical problem here;

http://openstudy.com/updates/4f8da83ae4b000310faa75ce

Answer 3

Find the volume of the sand, and then divide the volume by the rate to come up with the time.

Answer 4

Cylinder Volume + Cone Volume =
[pi*6^2*(45-15) + (1/3) * pi* 6^2*15]

Then, divide by (10*pi)

Divide out the pi s.

[6^2*(45-15) + (1/3)*(6^2)*15]/(10)] = ?

Answer 5

@lowcard2