Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Get quick and reliable solutions to your questions from a community of experienced experts on our 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
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.