All the edges of a cube are expanding at a rate of 1/6 cm/sec. Determine the rate of change of the volume of the cube when the edge length is 4 cm.

Q: The side of a cube increases at the rate of 11 m/sec. Find the rate at which the volume of the cube…

A: givenside of cube(a)=5mdadt=11m/secVolume of cube (v)=a3differentiating with respect to…

Q: find the rate at which the volume of a right circular cylinder of constant altitude 10 feet changes…

A: Given  Altitude=10feet We need to find the rate at which the volume of a right circular cylinder…

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

A:

Q: The radius of a right circular cone is increasing at a rate of 1.1 in/s while its height is…

A: Given that, drdt=1.1 in/s and dhdt=-2.7 in/s. Also, it is given that r=102 in. and h=162 in. It is…

Q: The radius of a right circular cone is increasing at a rate of 1.2 in/s while its height is…

A: Differentiate volume wrt t

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 stone dropped into a still pond sends out a circular ripple whose radius increases at a constant…

A:

Q: Find the rate of change of the volume of a cone with a constant height of 5 m with respect to radius…

A:

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: A spherical balloon has a radius r that is increasing at a rate of 3 cm/s. At what rate is the…

A:

Q: 2. please help, they canceled class due to virus can't contact teacher.

A:

Q: A cube’s surface area increases at the rate of 72 in2/sec. At what rate is the cube’s volume…

A: Given:

Q: The surface area of a sphere increases at a rate of 55 m²/sec. Then the rate at which the radius…

A:

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

A:

Q: As a circular metal griddle is being heated, its diameter changes at a rate of 0.01 cm/min. Find the…

A:

Q: The side of a cube is increasing at a rate 7m/s, then the rate at which the volume of the cube…

A: Let s be the side of the cube in meter and V be the volume of the cube and t be the time in…

Q: Water is flowing into a vertical cylindrical tank at the rate of 5 cu ft/min. If the radius of the…

A: Given, water is flowing into a vertical cylindrical tank at the rate of 5 cu ft/min (ie) Volume is…

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: Find the rate of change of the total surface area of a cylinder of radius r and height h, when the…

A:

Q: side

A: Please refer to the image below

Q: The radius of a right circular cone is increasing at a rate of 1.2 in/s while its height is…

A: To calculate the required rate of change using partial derivatives

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

A:

Q: The volume of a cube decreases at a rate of 12.1 m/sec. Find the rate at which the side of the cube…

A: we have to find the rate change of a side of cube

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

A:

Q: Sugar juice is filtering through a conical funnel 20cm deep and 12cm across the top into a…

A: Given that,Sugar juice is filtering through a conical funnel 20cm deep and 12cm across the top into…

Q: A cube is expanding at the rate of change 64 m³/s. What is the rate of change of its surface area…

A: This question is based on application of derivative.

Q: The volume of a cube increases at a constant rate of 135 ft°/ sec. The rate at which the side of the…

A:

Q: Water is flowing into a vertical cylindrical tank at the rate of 5cu.ft/min. if the radius of the…

A: The volume of a cylinder:,V = πr2hWhere, V = Volume of the cylinder  r = Radius of the base  h =…

Q: A Fluid flows in an inverted conical tank, 14 in diameter on top and 24in deep at a rate of…

A:

Q: Find the rate of change of volume of a sphere with respect to its surface area when the radius is 2…

A:

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

A:

Q: at what rate is the volume of the cube changing if the edge is 8cm and is changing at 4cm/sec?

A: The volume of a cube is: Where, a is the edge of the cube. Formula used:

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

A:

Q: All edges of a cube are expanding at a rate of 7 cm per second. How fast is the surface area…

A: Given that all edges of a cube are expanding at a rate of 7 cm per second. Let the edge of a sphere…

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 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 radius of a right circular cone is increasing at a rate of 5 in/s while its height is decreasing…

A: Let,  r - radius of the right circular cone h-Height of the right circular cone  V- Volume of the…

Q: 11. At what rate is the volume of the cube changing if the edge is 8 cm and is changing at 4 cm/s?

A: As we know that; The expression for the volume of the cube with the edge length ''a'' is: v=a3…

Q: The volume of a cube is growing at a rate of 2 in3/min. Determine the rate at which the surface of…

A: Given:The volume of a cube is growing at a rate of 2 in3/min, that is dVdt=2 in3/min, where V is the…

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

A:

Q: ) A snowball is melting at a rate of 1 cm3 per second. If it remains spherical, how fast is the…

A:

Q: A conical glass whose radius is 5m and altitude 12m is being filled at the rate of 10 cu. m/sec. How…

A:

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

A:

Q: A spherical balloon has a radius r that is increasing at a rate of 3 emfs. At what rate is the…

A: Given: drdt=3πcm/s   To find: dvdt when r=10

Q: coffee is draining out of a conical filter at a rate of 2.25 inches cubed per minute. If the cone is…

A: given: coffee is draining out of a conical filter at a rate of 2.25 inches cubed per minute. If the…

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

A:

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…