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 12 millimeters. The total height of the sand within the top portion of the hourglass is 47 millimeters. The radius of both the cylinder and cone is 4 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?

6.4

62.4

8.5

56.0

Answer 1

@radar can you help me out?

Answer 2

First you have to determine the volume of sand in the upper part of the hourglass.
The volume of the cone is given by(pi/3)r^2hThe volume of a cylinder is given by(pi)r^2 h The radius is the same for the cylinder and the cone. The height of the cone is given and the height of sand in the cylinder would be the height of the sand minus the height of the cone.

Answer 3

Once you know the volume of sand, you should be able to take the rate given to determine how long it takes to empty.d

Answer 4

Okay I got 6.4

Answer 5

good.

Answer 6

u got it correct.

Answer 7

Yay thanks