Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Jade scooped sand from a completely filled cylinder using cone shaped container. The Cylinder had a diameter of 12 inches and a height of 5 inches, and was one-fourth full after she scooped one full scoop of sand. What were the dimensions of the cone shaped container? Use 3.14 to approximate pi.
A. h=5in; r = 9in
B. h= 9.6 ; r = 15 in
C. h = 11.25 in; r = 12 in
D. h =15 in ; r = 6 in

Sagot :

eternal3fear
Volume of a Cylinder = pi * radius * radius * height
radius = diameter / 2 = 12 / 2 = 6
height = 5
so Volume of this Cylinder = 6*6*5 pi = 180 pi

one fourth full after being scooped
so Volume of Cone = (1 - 1/4) * Volume of Cylinder
 = 3/4 * Volume of Cylinder = 3/4 * 180 pi = 135 pi
so Volume of this Cone = 135 pi

equation for Volume of Cone = (1/3) * radius * radius * height * pi
we set this equal to the value you just got
135 pi = (1/3) * radius * radius * height * pi
you can cancel pi from both sides
and multiply both sides by 3
(radius * radius * height) = 405

now let's see which options fit this!
A. 9 * 9 * 5 = 405
B. 15 * 15 * 9.6 = 2160
C. 12 * 12 * 11.25 = 1620
D. 6 * 6 * 15 = 540

So the only one that matches is A
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.