1. A paper cup has the shape of a cone with height 12 cm and radius 4 cm (at the top). If water is poured into the cup at a rate of 2.5 cm³/s, how fast is the water level rising when the water is 6 cm deep?
1. A paper cup has the shape of a cone with height 12 cm and radius 4 cm (at the top). If water is poured into the cup at a rate of 2.5 cm³/s, how fast is the water level rising when the water is 6 cm deep?
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter26: Customary (english) Units Of Measure
Section: Chapter Questions
Problem 5A: The volume V of a cone with height h and diameter d is given by V=0.2618d2h . What is the volume of...
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![1. A paper cup has the shape of a cone with height 12 cm and radius 4 cm (at the top). If
water is poured into the cup at a rate of 2.5 cm³/s, how fast is the water level rising when the
water is 6 cm deep?
2. [Growth of a tumor] When the radius of a spherical tumor is 6 mm, it is growing at a rate
of 0.1 mm a day. How fast is the volume of the tumor changing at that time?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb045f188-edf4-4b12-9006-24109437c486%2F1c0a0708-74f3-4e21-92e3-9d3b7d4c5261%2F1w84aiq_processed.png&w=3840&q=75)
Transcribed Image Text:1. A paper cup has the shape of a cone with height 12 cm and radius 4 cm (at the top). If
water is poured into the cup at a rate of 2.5 cm³/s, how fast is the water level rising when the
water is 6 cm deep?
2. [Growth of a tumor] When the radius of a spherical tumor is 6 mm, it is growing at a rate
of 0.1 mm a day. How fast is the volume of the tumor changing at that time?
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