Consider a right circular cylinder open top tin can with volume 1000 cm3. Suppose R and H are the base radius and height, respectively, of the cylinder that will minimize the surface area. What is the value of R+ H? 11.3 cm 5.6 cm 13.66 cm 16.26 cm

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

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Q: Let B be the solid whose base is the circle x^2+y^2=49 and whose vertical cross sections…

A: Given, Circle- x²+y²=49=7² --------equation 1 The equation is of the form x²+y²=r². Therefore, the…

Q: Consider a right circular cylinder open top tin can with volume 1000 cm?. Suppose Rand H are the…

A: Given: Right circular cylinder with open top has volume 1000 cm3.            R is the radius of the…

Q: fit the largest possible cone inside a sphere, what fraction of the volume of occupied by the cone?…

A: In this question we have to find the fraction of the volume of the sphere is occupied by the cone.

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

A: To find - Value of R+H.

Q: consider a right circular cylinder open top tin can volume 1000cm^3. suppose R and H are the base…

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Q: The total surface area of an industrial cylindrical autoclave is to be limited to 20 m?. If it is…

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Q: 2. Consider a cylinder with height h= 3x – 4 and radius r= 2x. Determine the ratio of the volume of…

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Q: The volume V = (4/3)πr3 of a sphericalballoon changes with the radius.By approximately how much does…

A: To find the rate at which the volume changes, you must find the derivative of the volume function.…

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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: Stephen is comparing two solids. The first solid is a cone with a radius of 5 cm and a height of 9…

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Q: Give formulas for the volume V and the surface area S of a cone whose height h is nine times its…

A: We have given, Y= (x-2)0.5 Y=0 Y=1 X=2   We know if the radius and height of a cone are r unit and h…

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

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Q: The volume of the sphere is increasing at the rate of 6cm^3/hr. At what rate is its surface area…

A: Given that the volume of the sphere is increasing at the rate of 6  cm^3/hr. We have to find the…

Q: Q:3) Find the volume of a sphere of radius r.

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Q: A cylindrical can is to be made using a metal sheet. If the volume of the cylinder is 432π in3, then…

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

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Q: 37. What is the surface area of the sphere with a radius of 50 m in terms of t? O1,250 7 m2 05,000 7…

A: Use surface area formula of sphere

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

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

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…

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Q: The pencil holder is to have a base that has the same sides and a surface area of 100 cm². What…

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

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Q: Find the dimensions of a cylindrical can with a volume of 560 in^3 that minimizes the surface area.…

A: Let the radius of the cylindrical can be:  r Let the height of the cylindrical can be:  h

Q: Approximate the change in the volume of a sphere when its radius changes from r = 5f t to r = 5.1ft

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Q: The volume of a right circular cone is found using the equation V = r²h. Which equation represents…

A: Simplify by multiplying and dividing.

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

A:

Q: Given the funcion: ((x^2)/9)+(((y^2)/9)e^0.2x)=1    revolve around the x-axis to create an egg. Find…

A: The given equation is x29+y29e0.2x=1.We can plot the solid of revolution as

Q: If S represents the surface area of the spherical globe, find its diameter. O Vis 4x O VSA

A: We know that , formula of surface area of spherical globe is :  S = 4 π r2

Q: If y = 14 in. and z = 39.5 in., then the TOTAL SURFACE AREA of the cylinder is _______in2.  Use 3.14…

A: By using surface area formula, we calculate the required surface area.

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Q: Find the approximate error in computing the surface area of sphere having a diameter of 3 ??. with a…

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Q: Find the volume of liquid needed to fill a sphere of radius R to height h = R.

A: answer is in next step. please give a like!!

Q: The volume of the solid given by tl

A: Given,             z=8-3x2+y2            z=x2+y22-2

Q: A closed cubical box of inner edge 8 cm . is to be made of tin 1 mm. thick. Find approximately the…

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

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Q: (a) COMPUTE the dimensions of the rectangular box of maximum volume that can be x² + y? + z? = 4.…

A: Since you have posted multiple questions, we will solve only first question for you. To get…

Q: If y = 7 in. and z = 39.7 in., then the TOTAL SURFACE AREA of the cylinder is pi and round to…

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Q: 4.) Find x so that the volume of the U-shaped rectangular structure is equal to 165 cm3. 8 cm 10 cm…

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

Q: nd the radius of a sphere with volume z 113.04 in³.

A: Given that Volume of sphere = 113.04 in2

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: Given the function: ((x^2)/9)+(((y^2)/4)e^0.2x)=1  revolve around the x-axis to make an egg and find…

A: The given curve is as follows: The equation of the curve is x29+y24·e0.2x=1.  Thus, the curve…

Q: Compute the ”volume” of the 4-dimensional unit ball, which is the area enclosed by the equation x^2…

A: Given that, x2+y2+z2+w2=1. The volume for n dimensional unit ball is, V(n)=V(n-2)×2πn For n=4,…

Q: Consider the following. 13.0 cm 18.0 cm (a) Find the volume of the right circular cone (in cm³). cm…

A: Formula for finding volume of a right circular cone is,        Volume= (1/3) πr2h Where h=height of…

Q: . Given the area in the first quadrant bounded by 3x + 4y -12 0. What is the volume generated when…

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Q: Given the area in the first quadrant bounded by x2 = 8y, the line y – 2 = 0 and the y-axis. What is…

A: Given the area in the first quadrant bounded by x^2 = 8y, the line y – 2 = 0 and the y-axis. Find…

Q: If y = 7 in. and z = 39.8 in., then the TOTAL SURFACE AREA of the cylinder is round to nearest…

A: Total surface Area of cylinder = 2πrh+2πr2

Q: Find the radius of the right circular cone with the least volume that can be circumscribed about the…

A: According to the given information:Radius of sphere = √2Radius of cone = rHeight of cone = hIt is…

Q: Use the disk method to verify that the volume of a sphere is (4/3)π r3 , where r is the radius.

A: Volume of sphere of radius r is (4/3) πr3