An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 7 cm, and the height is 10 cm. b2 Find the rate at which the water level is rising when the water level is 8 cm. h cm/sec

An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 7 cm, and the height is 10 cm. b2 Find the rate at which the water level is rising when the water level is 8 cm. h cm/sec

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

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...

See similar textbooks

Related questions

Q: hot air ballon is hovering 110 meters above the ground and begins to assend at a rate of 17 meters…

A: This is a question of application of differentiation and integration... We will proceed as follows

Q: An inverted pyramid is being filled with water at a constant bị b2 rate of 65 cubic centimeters per…

Q: 4. A boy is flying a kite at a height 150 ft. If the kite moves horizontally away from the boy at…

A: Given query is to find the rate of change of length of string.

Q: 3. A woman in a hot air balloon drops her GoPro Hero 10 when the balloon is 175 ft above the ground…

Q: If a snowball melts so that its surface area decreases at a rate of 2 cm²/min, find the decreasing…

A: To find- Radius is decreasing at the rate of

Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per…

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per…

A: Given:

Q: water trough is 10m long and a cross-section has the shape of an isosceles trapezoid that is 30cm…

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 8…

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10…

Q: An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per…

A: The volume of a square pyramid is calculated using the formula: V=13b2h, where b is the length of…

Q: An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per…

A: Given query is to find the rate of change of height of water.

Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

A: Side of a cube decrease at rate of 7m/s Rate of change in volume?

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10…

A: Given: Rate of change of volume = 10ft3/min Diameter of the base of the cone is approximately three…

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per…

A: dv/dt = 45 cm3/second side is 2 cm height is 5 cm side/height = 2/5 side (s) = 2h/5 volume of…

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 5…

Q: An inverted pyramid is being filled with water at a constant rate of 65 cubic centimeters per…

Q: An inverted pyramid is being filled with water at a constant rate of 75 cubic centimeters per…

A: The rate at which water level is rising when the level is 5cm is 25cm/sec.

Q: An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per…

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per…

Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

A: The volume of the pyramid is V=13Bh Where B is the area of the base…

Q: The side of a cube increases at a rate of 2.5m/s. Find the rate at which the surface area increases…

A: As we know that; The expression of the surface area of the cube is: As=6a2 ....(1) Where;…

Q: An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per…

Q: The side of a cube decreases at a rate of 9 m/sec Find the rate at which the volume changes, when…

Q: An inverted pyramid is being filled with water at a constant rate of 50 cubic centimeters per…

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per…

Q: An inverted pyramid is being filled with water at a constant rate of 65 cubic centimeters per…

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic bị b2 centimeters per…

Q: Jamal is flying a kite on a string, and it is 100 ft above the ground. At the point that Jamal has…

A: Jamal is flying a kite on a string, and it is 100 ft above the ground. At the point that Jamal has…

Q: An inverted pyramid is being filled with water at a constant rate of 35 cubic centimeters per…

A: Finding the rate at which water level rises in a pyramid at a particular height

Q: A girl flies a kite at a height of 300 ft, the wind carrying the kite horizontally away from her at…

A: Given A girl flies a kite at a height of 300 ft, the wind carrying the kite horizontally away from…

Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16…

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 4…

Q: Water is leaking out of an inverted conical tank at a rate of 11700.0cm^3/min at the same time that…

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10…

A: Given that dVdt=10, h=15 find dhdt r=radius of base at time t h= height at time t V= volume of cone…

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 6…

Q: An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per…

A: Given: speed of waterdVdt=55 cm3second, b1=b2=6cm, h=13cm

Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

Q: An inverted pyramid is being filled with water at a constant rate of 35 cubic centimeters per…

Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per…

Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

A: Given inverted square pyramid has length of square base b=2 cm and height h=5 cm Water is being…

Q: An inverted pyramid is being filled with water at a constant rate of 75 cubic centimeters per…

Q: An inverted pyramid is being filled with water at a constant rate of 40 cubic centimeters per…

Q: An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per…

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per…

A: We know, Volume of a figure = Area of a base × Height

Q: An inverted pyramid is being filled with water at a constant rate of 35 cubic centimeters per…

A: Solution: Height of a pyramid: h = 11 cm length and width of a pyramid: l = w = 7 cm (top is a…

Q: The tempature at any point on a cordinate plane is T=3x2+4y2+5. What is the rate of change from the…

A: Note: We know that, We need to find the rate of change from the origin, considering it's the same…

Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per…

A: Let s cm be the side of the square formed by the water surface in the inverted and h cm be the water…

Question

Do not answer incorrect , otherwise i will downvote it multiple times.

An inverted pyramid is being filled with water at a constant rate of 55 cubic
centimeters per second. The pyramid, at the top, has the shape of a square
with sides of length 7 cm, and the height is 10 cm.
bị
b2
Find the rate at which the water level is rising when the water level is 8 cm. h
cm/sec

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The diameter of a carousel merry-go-round is 30ft. At full speed, it makes a complete revolution in 6 s. At what rate, in feet per second, is a horse on the outer edge moving?
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the volume of a prism with a base area of 220.0 square centimeters and a height of 7.600 centimeters.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Find the volume of a right circular cylinder that has a height of 4,600 inches and a base area of 53.00 square inches.
Solve these exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Find the base diameter of a right circular cone that has a volume of 922.4 cubic centimeters and a height of 14.85 centimeters.
The volume V of a cone with height h and diameter d is given by V=0.2618d2h . What is the volume of a cone with diameter 72.4 cm and height 122.5 cm? Round the answer to 2 decimal places.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid brass casting in the shape of a right circular cone has a base diameter of 4.36 inches and a height of 3.94 inches. Find the weight of the casting. Brass weighs 0.302 pound per cubic inch.