A cone shaped coffee filter of radius 6 cm and depth 10 cm contains coffe which drips out from a hole in the bottom at a rate of 1.5 cm³/sec. a. Draw a picture of a side view of the cone as a triangle. Label b. If the filter starts off full, how long does it take to empty? c. Find the volume when the depth is 10-y cm. d. How fast is the water level falling when the depth is 8cm.?
A cone shaped coffee filter of radius 6 cm and depth 10 cm contains coffe which drips out from a hole in the bottom at a rate of 1.5 cm³/sec. a. Draw a picture of a side view of the cone as a triangle. Label b. If the filter starts off full, how long does it take to empty? c. Find the volume when the depth is 10-y cm. d. How fast is the water level falling when the depth is 8cm.?
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 13A: A vessel is in the shape of a right circular cone. This vessel contains liquid to a depth of 12.8...
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![A cone shaped coffee filter of radius 6 cm and depth 10 cm contains coffee
which drips out from a hole in the bottom at a rate of 1.5 cm³/sec.
a. Draw a picture of a side view of the cone as a triangle. Label
b. If the filter starts off full, how long does it take to empty?
c. Find the volume when the depth is 10 - y cm.
d. How fast is the water level falling when the depth is 8cm.?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75a116e4-8620-40b4-8da8-bf763537bfc2%2F55153175-61bc-49a4-8ab7-37f736b1a721%2Flsnrpp_processed.png&w=3840&q=75)
Transcribed Image Text:A cone shaped coffee filter of radius 6 cm and depth 10 cm contains coffee
which drips out from a hole in the bottom at a rate of 1.5 cm³/sec.
a. Draw a picture of a side view of the cone as a triangle. Label
b. If the filter starts off full, how long does it take to empty?
c. Find the volume when the depth is 10 - y cm.
d. How fast is the water level falling when the depth is 8cm.?
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