A cylindrical vessel whose diameter and altitude are 26 cm and 500 cm respectively, is filled with water to half its height. What is the increase in the water level if a ball 6 cm in diameter is placed in the vessel?

Q: If the work required to stretch a spring 2 ft beyond its natural length is 12 ft-lb, how much work…

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Q: (b) If its' owner uses 3 pipes of radius 4cm, with water flowing at a rate of 30cm/s, how long will…

A: (a) Area of circuler face= pi*r2  =pi*102 = 314 cm2.                    (pi=3.14)

Q: A Sphere of diameter 6 cm is dropped in a right cylindrical vessel party filled with water. The…

A: Let the level of the water rises in the cylindrical vessel is 'H'. So, The volume of the cylinder…

Q: How much work is required to pump all the water from a right circular cylindrical tank, that is 8…

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Q: A log is 16 m long, correct to the nearest metre. It has to be cut into fence posts which must be 70…

A: Given that, A log is 16 m long, correct to the nearest metre.   It has to be cut into fence posts…

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A: Given : Average movement of San Andreas Fault= 6 cm/year

Q: Each side of a square is increasing at a rate of 6 cm/s . Atwhat rate is the area of the square…

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Q: If the work required to stretch a spring 5 feet beyond its natural length is 15 foot-pounds, how…

A: first, we need to find the spring constant  W=∫0a fxdx here we have W=15 and a=5 feet 15=∫05 fxdx…

Q: Suppose that 2 Joules of work is needed to stretch a spring from its natural length of 40 cm to a…

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Q: Each side of a square is increasing at a rate of 6 cm/s. At what is the area of the square…

A: Given that, Area of square is  25cm2    Area A = x2 Where x is the side length. The area of square…

Q: A tank, measuring 30cm x 40cm x 50cm, contains 2 identical cubes. Water is then poured into the tank…

A: Given data is : A tank, measuring 30cm x 40cm x 50cm, contains 2 identical cubes Volume of…

Q: 10 ft-lb of work is required to stretch a spring from its natural length of 12 inches to 36 inches.…

A: Let F be the force and K be the spring constant. If x is the change in length of the spring from its…

Q: A candle on Pauline dresser is 4 inches tall.and burns at a rate of 0.6 inches per hour . How many…

A: Topic - equation in one variable

Q: In October, Diana planted a tulip bulb 6 inches deep in the soil. The next spring, when the tulip…

A: Distance below the surface level = 6 inches Distance above the surface level = 13 inches Total…

Q: The volume of a cube is increasing at a rate of 60 in/sec. At what rate is the length of each edge…

A: The objective is to find the rate at which the length of each edge of the cube is changing when the…

Q: The rectangular tank shown here, with its top atground level, is used to catch runoff water. Assume…

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Q: the grade 12 students wants to use a log of a fallen tree to build a container in the form of a…

A: the grade 12 students wants to use a log of a fallen tree to build a container in the form of a…

Q: If the volume of a different sphere is increasing at a rate of 24 cubic inches per minutes and the…

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Q: Calculate the height that we can reach with a 3m ladder leaning against a wall if the bottom of the…

A: First we consider a triangle ABC, in which the height of AB = a, BC = 3m and AC = 7 cm So, the…

Q: The average height of men in the US is approximately 5ft 10in. What proportion of women represented…

A: It is given that the height of women follows a normal distribution with mean 64.33 in and standard…

Q: How much work is required to pump all the water from a right circular cylindrical tank, that is 8…

A:

Q: A snail slid 7 cm down a stalk and climbed 5 cm back up. Hlow far was the snail below its original…

A: Given : A snail moves 7 cm down then moves 5 cm up.

Q: An automobile uses gasoline at a rate of 12 kilometres per litre and has a 65 litre tank. How far…

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Q: A poster has a rectangular printed area 100 cm by 140 cm and a blank strip of uniform width around…

A: Let x the width of the strip.L be the length of printed area and B be the breadth of the printed…

Q: A car has wheels are 80 cm in diameter.How many complete revolutions does each wheel make in 10…

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Q: A chain lying on the ground is 10 m long and its mass is80 kg. How much work is required to raise…

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Q: An automobile with 0.310 m radius tires travels 95,000 km before wearing them out. How many…

A: An automobile with 0.310m radius tires travels 95,000km before wearing them out. We have to find how…

Q: How much work is required to pump all the water from a right circular cylindrical tank, that is 8…

A:

Q: The length of a side of a square field is 380 m. What will be cost of levelling the field at a rate…

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Q: A block of wood is 2.5 feet long, 0.5 feet wide, and 0.25 feet tall. It weighs 16.5 pounds. To the…

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Q: A simple pendulum, consisting of a mass of 8.237 kg, is attached to the end of a 2.68 m length of…

A: To calculate the speed of the mass (in m/s) at the bottom of the swing. Given that: Mass = 8.237 kg…

Q: A 11 foot ladder is placed against a vertical wall of a building, with the bottom of the ladder…

A: This is the question of the application of the Pythagoras theorem.

Q: A limestone stalactite grew in length at a rate of – of a millimeter per year. At this rate, how…

A: Given the limestone is growing at a rate of 18mm per year i.e. 0.125 mm every year

Q: If the ocean is opening at a rate of 3 cm/year., how wide will the ocean be in 100 million years in…

A: If the ocean is opening at a rate of 3 cm/year, then we have to find how much wide will the ocean be…

Q: Find the cost of fencing a rectangular park 300 m long and 200 m wide at the rate of $4 per metre

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Q: A 500 mL IV starts at 9pm and runs at 33gtt/min with a drop factor of 10gtt/mL.  At what time will…

A: Algebra Question

Q: The sides of the square are increasing at a rate of 3 cm per second . When the sides are 5cm long ,…

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Q: A steel column carrying a load of 10,000 pounds has a diameter if 10 inches. What is the pressure on…

A: Given,

Q: The Grain is falling from a chute onto the ground, forming a conical pile whose diameter is 3 times…

A: To determine the height of the pile.

Q: A cylindrical pitcher has a volume of 60 cubic inches. Andrea pours lemonade into conical glasses…

A: The volume of a cone is given by the expression V=13πr2h. Here, r is the radius of the cone and h is…

Q: A conical tank 20 feet in diameter and 30 feet tall (with vertex down) leaks water at a rate of 5…

A: To find the rate of water

Q: The wheels on a racing bicycle have a radius of 10 inches. How fast is the cyclist traveling in…

A: Circumference of wheel = 2πr                                  = 2 × 22/7 × 10 inches Distance…

Q: A 90 kg man lying on a surface of negligible friction shoves a 81 g stone away from himself, giving…

A: Explanation of the answer is as follows

Q: An inverted conical tank is 10 feet high and 7 feet in radius. Water, which weighs 9800 Newtons per…

A: An inverted conical tank is 10 feet high and 7 feet in radius. Water, which weighs 9800 Newtons per…

Q: 2. Air is leaking from a spherical-shaped advertising balloon at the rate of 26 cubic feet per…

A: Let r be the radius and v be the volume of balloon, Given dvdt=26 cf/minuteswe know…

Q: A chain lying on the ground is 16 ft long and weighs 90 lbs. How much work is required to raise one…

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Q: The side of a square sheet is increasing at rate of 4 cm per minute ,At what rate is the area…

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