The volume of a cube is increasing at the rate of 6 cm/min. How fast is the surface area increasing when the length of an edge is 12 cm?

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Q: The edges of a cube increase at a rate of 2cm/s. How fast is the volume changing when the length of…

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Q: The volume of a cube is increasing at the rate of 8 cm3/sec.How fast is the surface are increasing…

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Q: The length of a rectange is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

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Q: The edges of a cube are expanding at a rate of 5cm per second. How fast is the volume changing when…

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Q: All edges of a cube are expanding at a rate of 9 centimeters per second. (a) How fast is the volume…

A: GivenAll edges of a cube are expanding at a rate of 9 centimeters per second

Q: Sugar is poured into a conical tank at the rate of 15cm3/sec whose bottom radius is always quarter…

A: The volume of a cone is given by the formula V=13πr2h. Where, V-volume, r-radius and h is the height…

Q: A cube has sides that are increasing at a rate of 10 cm/s. At what rate is the volume increasing…

A: Valur=?

Q: The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in…

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Q: consider a rectangular bathtub whose base is 18 ft2. How fast is the water level rising if water is…

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Q: If the length of the edge of a cube is increasing at a rate of 3cm/s, how fast is the volume of the…

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Suppose the sides of a cube are expanding at a rate of 2 inches per minute, How fast is the volume…

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Q: The length of the rectangle is increasing at a rate of 5 cm per second, and its width is decreasing…

A: Let the length be: l Let the width be: w

Q: The volume of a cube is increasing at the rate o 8 cm³/sec.How fast is the surface area increasing…

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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 original 24 m edge length x of a cube decreases at the rate of 3 m/min. a. When x = 4 m, at what…

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Q: If the diagonal of a cube is increasing at a rate of 3 cubic inches per minute, how fast (in…

A: We will find the rate of increase of side of cube.

Q: The volume of  a cube is increasing at a rate of 9 feet3/sec . how fast is the surface area…

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Q: Air is being pumped into a sperical balloon so that its volume increases at a 12. rate of 16 cubic…

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Q: The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the…

A: Let be the volume and r be the radius of the sphere respectively.

Q: . The volume of a cube is increasing at a rate of 10 cm³/min. How fast is the surface area…

A: Given : Volume a cube is increasing at a rate of 10 cm³/min.

Q: All edges of a cube are expanding at a rate of 8 mm per hour. At what rate is the volume of the cube…

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Q: Find the surface area of a sphere at the instant when the rate of increase of the volume of the…

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Q: The edge of a cube increases at 0.3 in/min. How fast are the volume and surface area changing when…

A: let 'x' be the edge of cube. dxdt=0.3 in/min.  (given)

Q: The volume of a cube is increasing at the rate of 8 cm /sec.How fast is the surface area in creasing…

A: We can find the answer as below

Q: The radius of a sphere is increasing at a rate of 4 mm /s. How fast is the volumeincreasing when the…

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Q: If the radius of a sphere is increasing at the constant rate of 3 inches per second, how fast is the…

A: Given dr/dt = 3

Q: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the…

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Q: The volume of a cube is increasing at a rate of 68 in3/sec. At what rate is the length of each edge…

A: Related rates of changes –                 The related rate of change is finding the rate of change…

Q: A cone with an altitude of 50 cm has its base radius changing at the rate of one millimeter per…

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Q: 3. The volume of a cube is increasing at the rate of 6 cm³/min. How fast is the surface increasing…

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Q: The volume of a cube is increasing at the rate of 1200 cm3/min at the instant its edges are 20 cm…

A: Let the length of the sides of the cube = xAnd the volume of the cube = V = x^3

Q: A trough filled with water is 2m long and has a cross section in the shape of an isosceles trapezoid…

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Q: The lengths of the edges of a cube are increasing at a rate of 8 ft/min. At what rate is the surface…

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Q: A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 2…

A: Given ,  A stone dropped in a pond sends out a circular ripple whose radius increases at a constant…

Q: The original 24 m edge length x of a cube decreases at the rate of 2 m/min. a. When x = 4 m, at what…

A: As Given :                   The length x of Cube decrease at a rate of 2 m/min.…

Q: How fast is the volume of a cube changing when the edge is 15 cm if the edge is changing at the rate…

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Q: The volume of a cube is increasing at the rate of 1200 cm³ / min at the instant its edges are 20 cm…

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Q: The radius of a sphere, initially zero, increases at the rate of 6 ft per second. How fast the…

A: Given ,The radius of a sphere , initially zero , increases at the rate of 6 per second.The volume is…

Q: 4. Find how fast the volume of a sphere increases as its radius increases.

A: Given,  Relation of Volume of sphere  with the radius. How fast volume increases as its radius…

Q: The volume of a cube is increasing at a rate of 64 in ³/sec. At what rate is the length of each edge…

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Q: The volume of a cube is increasing at arate of 9 cubic feet per second.   how fast is the surface…

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Q: A spherical iron ball 8 in. in diameter is coated with a layer of ice of uniform thickness. If the…

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Q: The volume of a cube is increasing at the rate of 9 cm3 /  sec. How fast is the surface area…

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Q: The radius of a sphere, initially zero, increases at the rate of 4 feet per second. Find how fast…

A: Solution :Given  the adius of a sphere, initially zero, increases at the rate of 4 feet per…

Q: The Volume of a cube is increasing at the rate of 8 cm3/sec.How fast is the surface area increasing…

A: Given that volume of a cube is increasing at the rate of 8cm3/sec find out the fastness in the…

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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Q: The radius of a sphere is increasing at a rate of 4mm/s.How fast is the volume increasing when the…

A: Given that the radius of a sphere is increasing at a rate of 4mm/s. That is, Now consider the…