3) Water is running from a vertical cylindrical tank 3 m in diameter at the rate of 3ayh , where h is the depth of the min water in the tank. How fast is the surface of the water falling when h= 9 m?

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Q: Suppose the edges of a cube are increasing at a constant rate of 11 m/hr. Then, the volume of the…

A: Let the side of the cube = x Edges of the cube increasing rate dx/dt = 11 m/hr

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A: Given : The radius of the cylindrical tank is 3 m. Water is filled at a rate of 4 m3/min

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Q: 7. The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the moment when the…

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A: Surface area of a square prism is given by- A=2a2+4ah where a is side of prism, h is height of…

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A: Solution :-

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Q: A cylindrical tank with radius 5m is being filled with water at a rate of 4 m^3/min. How fast is the…

A: Given:         radius of cylinder (r)=5m         rate of water filled dvdt=4m3/minwe know that…

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Q: A cylindrical tank with radius 5 m is being filled with water at a rate of 3 cu. m / min How fast is…

A: Given, Radius of the cylindrical tank = 5 m Water rate = 3 m3/min

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A: The volume of water trough = Area × Length Area of trapezium = 12×Sum of parallel sides×height…

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.