9. Figure shows a container for water, ABCDEF, in the shape of a triangular prism. The cross- section AFE and BCD are equilateral triangles. The rectangle CDEF is horizontal and the triangles AFE and BCD are vertical BC-6m and DE 16m. Water is poured into the container at a constant rate. At time / minutes the volume of water in the container is Fm' and the E height of the surface of the water above AB is h metres. 16h? 10 (a) Show that I Given that the water is being poured into the container at a raic of 3 m/min. (b) Find the rate, to 2 significant figures, at which h is increasing with respect to t when h-1.5. 6m (c) Find an approximate value for the change in volume, in m' to 2 significant figures, as h increases from 2.1 to 2.12. d) Find an approximate value for the percentage increase in volume as h increases by 1.6%.
9. Figure shows a container for water, ABCDEF, in the shape of a triangular prism. The cross- section AFE and BCD are equilateral triangles. The rectangle CDEF is horizontal and the triangles AFE and BCD are vertical BC-6m and DE 16m. Water is poured into the container at a constant rate. At time / minutes the volume of water in the container is Fm' and the E height of the surface of the water above AB is h metres. 16h? 10 (a) Show that I Given that the water is being poured into the container at a raic of 3 m/min. (b) Find the rate, to 2 significant figures, at which h is increasing with respect to t when h-1.5. 6m (c) Find an approximate value for the change in volume, in m' to 2 significant figures, as h increases from 2.1 to 2.12. d) Find an approximate value for the percentage increase in volume as h increases by 1.6%.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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![9. Figure shows a container for water, ABCDEF, in the shape of a triangular prism. The cross-
section AFE and BCD are equilateral triangles. The rectangle CDEF is horizontal and the triangles
AFE and BCD are vertical BC-6m and DE 16m.
10
Water is poured into the container at a constant rate. At time /
minutes the volume of water in the container is Fm' and the E
height of the surface of the water above AB is h metres.
(a) Show that
Given that the water is being poured into the container at a raic of 3 m/min.
(b) Find the rate, to 2 significant figures, at which h is increasing with respect to t when h= 1.5.
16h2
6m
(c) Find an approximate value for the change in volume, in m' to 2 significant figures, as h
increases from 2.1 to 2.12.
d) Find an approximate value for the percentage increase in volume as h increases by 1.6%.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8fb69cb6-850d-4a3f-91d9-c6330f459c17%2Fd12d1b97-6cb0-4324-b61c-e78db427d6f4%2Ftfdpxi7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:9. Figure shows a container for water, ABCDEF, in the shape of a triangular prism. The cross-
section AFE and BCD are equilateral triangles. The rectangle CDEF is horizontal and the triangles
AFE and BCD are vertical BC-6m and DE 16m.
10
Water is poured into the container at a constant rate. At time /
minutes the volume of water in the container is Fm' and the E
height of the surface of the water above AB is h metres.
(a) Show that
Given that the water is being poured into the container at a raic of 3 m/min.
(b) Find the rate, to 2 significant figures, at which h is increasing with respect to t when h= 1.5.
16h2
6m
(c) Find an approximate value for the change in volume, in m' to 2 significant figures, as h
increases from 2.1 to 2.12.
d) Find an approximate value for the percentage increase in volume as h increases by 1.6%.
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