A frustum shaped bucket is shown as in the reference image. The top radius is 2 ft, the bottom radius is 1 ft, and the height is 2 ft. Water is injected into the bucket at a rate of 1 cubic foot per minute. Answer the following with your answers rounded to 2 decimal places. (1) What is the water level / when the time t = 2 minutes? (2) How fast is the water level rising when the time ✓ = 2 minutes? You are permitted to use the volume formula for a frustum of cone which can be found on the internet, but such formula is not necessary. h' when t = 2 h when 1 = 2 Choose... Choose...

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question

A  frustum shaped bucket is shown as in the reference image.  The top radius is 2 ft, the bottom radius is 1 ft, and the height is 2 ft. Water is injected into the bucket at a rate of 1 cubic foot per minute.  Answer the following with  your answers rounded to 2 decimal places. 

(1) What is the water level h when the time t =2minutes?

(2) How fast is the water level rising when the time t=2 minutes?

You are permitted to use the volume formula for a frustum of cone which can be found on the internet, but such formula is not necessary. 

find h' whent t=2

find h when t=2 

answer can range from 0.10, 0.20, 0.30, 0.40, 0.50, 0.60

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A frustum shaped bucket is shown as in the reference image. The top
radius is 2 ft, the bottom radius is 1 ft, and the height is 2 ft. Water is
injected into the bucket at a rate of 1 cubic foot per minute. Answer the
following with your answers rounded to 2 decimal places.
(1) What is the water level / when the time t = 2 minutes?
(2) How fast is the water level rising when the time t = 2 minutes?
You are permitted to use the volume formula for a frustum of cone which
can be found on the internet, but such formula is not necessary.
h' when t = 2 Choose... +
h when 1 = 2
Choose...
Transcribed Image Text:A frustum shaped bucket is shown as in the reference image. The top radius is 2 ft, the bottom radius is 1 ft, and the height is 2 ft. Water is injected into the bucket at a rate of 1 cubic foot per minute. Answer the following with your answers rounded to 2 decimal places. (1) What is the water level / when the time t = 2 minutes? (2) How fast is the water level rising when the time t = 2 minutes? You are permitted to use the volume formula for a frustum of cone which can be found on the internet, but such formula is not necessary. h' when t = 2 Choose... + h when 1 = 2 Choose...
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