Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

cbrusoe

  • 2 years ago

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? Answer 29 18 126 108

  • This Question is Closed
  1. cbrusoe
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    1 Attachment
  2. marcoduuuh
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Find the volume of the sand, and then divide the volume by the rate to come up with the time. Disclaimer: When we're doing the calculation for the volume of the cone below, it's really only an estimate. We're assuming it's really a cone (i.e. that it comes to a point); but if that were the case, no sand would be able to fall. Nevertheless, that's how we're doing it. The total volume of sand consists of the sand in the cone portion plus whatever sand is in the cylindrical portion of the hourglass. We'll call the total volume V, the conical volume Vcn, and the cylindrical volume Vcy. V = Vcn + Vcy

  3. cbrusoe
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    gotcha thanks!

  4. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.