A trough has a triangular cross section. The trough is 5 ft across the top, 5 ft deep, and 26 ft long. Water is being pumped into the trough at 5 ft 26 ft the rate of 2 ft per minute. Find the rate at which the height of the water is increasing at the instant that the height is 2 ft. sift

Mathematics For Machine Technology
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Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 57AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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A trough has a triangular cross section. The
trough is 5 ft across the top, 5 ft deep, and 26 ft
long. Water is being pumped into the trough at
5 ft
26 ft
the rate of 2 ft° per minute. Find the rate at
which the height of the water is increasing at
the instant that the height is 2 ft.
sift
Let V represent the volume of water in the trough, b represent the length across the top of the water in the trough, h represent the depth of
the water in the trough, and w represent the length of the water in the trough. What equation will find the volume of the water in the trough?
Thb
O A. V=
W
B. V= 2whb
hb
O C. V=
2w
1
O D. V==
v= zwhb
Transcribed Image Text:A trough has a triangular cross section. The trough is 5 ft across the top, 5 ft deep, and 26 ft long. Water is being pumped into the trough at 5 ft 26 ft the rate of 2 ft° per minute. Find the rate at which the height of the water is increasing at the instant that the height is 2 ft. sift Let V represent the volume of water in the trough, b represent the length across the top of the water in the trough, h represent the depth of the water in the trough, and w represent the length of the water in the trough. What equation will find the volume of the water in the trough? Thb O A. V= W B. V= 2whb hb O C. V= 2w 1 O D. V== v= zwhb
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