15. Water is pouring into a tall, Canadian cylinder of radius Scm at a rate of 10cm per second. The volume of a cylinder is r h. How fust is the water rising after 10 seconds?

Q: Suppose that the radius of the hut is increased by 2.5%. Calculate the following: (i) Percentage…

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Q: (1) What is the approximate volume of a thin cylindrical shell with height 2, radius 3, and…

A: Solution ) Volume of the cylinder    V = πx2h        x = radius         Differentiate with respect…

Q: What is the volume of the fir

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Q: Suppose that r = 12 cm and h = 15 cm in the right circular cylinder. Find the exact and approximate…

A: In right circular cylinder   radius(r)=12 cm and height(h)=15 cm (a)  For lateral surface area…

Q: A factory packages coconut water in cone-shaped containers with a base radius of 5.2 cm and a height…

A: Given radius = 5.2cm Height = 13cm Total surface area of cone shaped container and cylindrical…

Q: 2. A cylindrical can is designed to hold16n cubic inches of soup (approximately 28 ounces h for…

A: In this question we will use basic of calculus i.e concept of maxima and minima. We will use the…

Q: 14. Find the dimensions of a right cone with surface area S=4 n that has the largest volume?

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Q: Consider a right circular cylinder open top tin can with volume 1000 cm3. Suppose R and H are the…

A: Please refer the attached image for complete solution. THANK YOU.

Q: Suppose a ship's fuel tank has a layer of oil 1.9 m thick and density 631 kg/m3 floating atop a…

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Q: 3. What is the volume if a cylindrical tank whose lateral surface area is 15.8 m² and whose base…

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Q: 3x Assuming the box has a fixed volume. What is the value of y in terms of x that will result

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Q: 2. What formula should be used to minimize the lateral surface area of a cone, where the volume of…

A: I am attaching image so that you understand each and every step.

Q: Consider a right circular cylinder open top tin can with volume 1000 cm3. Suppose R and H are the…

A: Given that: Volume of cylinder = 1000 cm3

Q: ) About how accurately must the interior diameter of a cylindrical storage tank that is 8 m high be…

A: Given: Internal diameter of tank = d

Q: How do you find the approximate volume of a triangular prism tank in a work problem?

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Q: What is the volume of a 2 mole samples of gas has a temperature of 50’C at 4 atm.

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Q: About how accurately must the interior diameter of a 10-m-high cylindrical storage tank be measured…

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Q: Approximate the change in the volume of a right circular cylinder of fixed radius r= 19 cm when its…

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Q: 20. What is the exact volume of a cylinder whose diameter is 10 meters and whose helght is 12…

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Q: 15. A flow rate of 32 microdrops per minute on a gravity system is equivalent to how many…

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Q: 2. The metal cylinder in Question #1 has a radius (r) = 1.05 cm and a height (h) = 3.32cm. (a)…

A: Given that the metal cylinder has a radius (r) = 1.05 cm and height (h) = 3.32 (a) To calculate…

Q: What is the exact volume of a solid that is formed by rotating the region ,2 bound by g (x) = x + 4,…

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Q: 2. CALCULATE THE VOLUME OF A RIGHT CIRCULAR CONICAL CONTAINER (IN LITERS) WHOSE HEIGHT IS 4 YARDS…

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Q: 3. Give formulas for the volume and the surface area of acylinder with radius y and height s.

A: Formulas for the volume and the surface area of a cylinder with radius y and height s.

Q: 1. Find the EXACT lateral area, surface area and volume of a right cylinder with radius of 5 inches…

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Q: 5. Give formulas for the volume and the surface area of acylinder whose radius r is half of its…

A: To give the formula for the volume and the surface area of a cylinder whose radius r is half of its…

Q: A cylinder has a base radius of 4m and a height of 6m. What is its volume in cubic m, to the nearest…

A: Volume is the space covered by the object or any geometric figure in a three dimensional space. It…

Q: 11. Describe an effective way to show students the relationship between the volume of a cone and…

A: Write volume formula of cone and cylinder and relate

Q: 22. What is the exact volume of a cone whose base radius is 9 feet and whose height is 13 feet? Show…

A: The volume of a cone = (1/3) πr2h cubic units Where, ‘r’ is the base radius of the cone ‘h’ is the…

Q: 1. , Trh. Suppose that the The volume of a right circular cone of radius r and height h is given by…

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Q: e of length 2m. What is the volume O Option 2

A: We have to choose the correct option according to the given options

Q: A cylindrical can, open at the top, is to hold 600 cm³ of liquid. Find the height, h, and the…

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Q: 9. What is the volume of the cone with radius 5 m and height 6 m? Express the answer in terms of r.…

A: We have to find the volume of the c

Q: 1. If the edge of a cube is 8 cm and increases by 0.1 cm, what is the approximate change in volume?

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Q: 3. The area on the second and third quadrant of the circle x^2+y^2=36 is revolved about the line…

A: Sketch the region and find limit in y variable.

Q: A hollow glass bowl in the shape of a sphere of radius 4 in. is filled with water to a depth of 3…

A: Given: The radius of the bowl is 4 inches. The depth of the bowl is 3 inches.   Formula used: The…

Q: Given the area  in the first quadrant by x^2 = 8y, the line x = 4 and the x axis. What is the volume…

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Q: 13. Find the volume of the solid generated by revolving the area of a circle: (x − 2)² + y² = 4;…

A: The volume of the revolution of the function y=fx from x=a to x=b about the x-axis is: V=∫abπy2dx…

Q: ie the total surfoce area of a Cylinder lfloor,ceiling an d lateral area to tal) is 300m unit…

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Q: Calculate the work (in Joules) required to pump all of the water in this hemispherical tank to the…

A: We will find work done to empty a horizontal slice of watr and then integrate it to find total work…

Q: 8. If V represents the volume of an object, what does AP represent? - dt

A: dydx-Represent the Rate of change of 'y' with respect to 'x'. Here, 'y' is dependent variable and…

Q: 2. Approximate the change in the volume of a sphere when its radius changes from r = 5ft to r =…

A: Given that  Radius changes from 5ft to 5.01ft To find the rate of change of volume of the sphere

Q: A wooden solid is made up of a cylinder with hemispherical ends. If the whole length of the solid is…

A: Radius of the cylinder, r = 7 cm Height of the Cylinder, h = (84 - 2r) cm…

Q: Consider a right circular cylinder open top tin can with volume 1000 cm³. Suppose R and H are the…

A: We will use derivative to minimize the area.

Q: Which of the following is NOT a method for finding volume of solids of revolution?

A: answer is in next step

Q: 3. What will the flow rate be in milliliters per hour for vancomycin 1g/500 mL IV, if it is to be…

A: The given data is: What will the flow rate be in milliliter per hour for vancomycin lg/500 mL IV, if…

Q: Find the volume of the solid formed by rotating the blue triangle around the X-axis (round to the…

A: First we have to find the equation of given at blue part Given in point (4,3) point and (0,0) at…

Q: | 7. What is the volume of a frustum of a cone whose upper base is 15 m in diameter and lower base…

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Q: 4. A cone just fits inside a cylinder with a diameter of 8 m and a height of 11 m. What is the…

A: These are geometry based problem where volume of the cone and the volume of the empty space when a…

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.