A pyramid-shaped vat has a square cross-section and stands on its tip. The dimensions at the top are 2 m × 2 m, and the depth is 8m. If water is flowing into the vat at 1.5 m³/s, how fast (in m/s) is the water level rising when the depth of water (at the deepest point) is 4 m? Hint: the volume of any "conical" shape (including pyramids) is equal to (1/3)(height)(area of base). Note: Round to the nearest tenth.
A pyramid-shaped vat has a square cross-section and stands on its tip. The dimensions at the top are 2 m × 2 m, and the depth is 8m. If water is flowing into the vat at 1.5 m³/s, how fast (in m/s) is the water level rising when the depth of water (at the deepest point) is 4 m? Hint: the volume of any "conical" shape (including pyramids) is equal to (1/3)(height)(area of base). Note: Round to the nearest tenth.
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...
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![A pyramid-shaped vat has a square cross-section and stands on its tip. The
dimensions at the top are 2 m × 2 m, and the depth is 8m.
If water is flowing into the vat at 1.5 m3/s, how fast (in m/s) is the water
level rising when the depth of water (at the deepest point) is 4 m?
Hint: the volume of any "conical" shape (including pyramids) is equal to
(1/3)(height)(area of base).
Note: Round to the nearest tenth.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b368ec1-bfad-426d-970f-e662da2489c4%2Fb9d7694c-019c-4b30-9740-d096bfc62c81%2Fe3tfoyb_processed.png&w=3840&q=75)
Transcribed Image Text:A pyramid-shaped vat has a square cross-section and stands on its tip. The
dimensions at the top are 2 m × 2 m, and the depth is 8m.
If water is flowing into the vat at 1.5 m3/s, how fast (in m/s) is the water
level rising when the depth of water (at the deepest point) is 4 m?
Hint: the volume of any "conical" shape (including pyramids) is equal to
(1/3)(height)(area of base).
Note: Round to the nearest tenth.
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