Let V be the volume of a pyramid of height 20 whose base is a square of side 6. 20 6 Use similar triangles to find the area of the horizontal cross section at a height y. A = Calculate V by integrating the cross-sectional area. V =

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

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Q: Find the volume of the cylinder. Either enter an exact answer in terms of T or use 3.14 for T. 4…

A: To find The volume of the cylinder

Q: By calculating the solid's volume got by rotating the region underneath the semicircle y = (r2 −…

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Q: Find the surface area of the cylinders below. r= 0.8 in. h = 2 in. 1. r= h= S= 2nr? + 2nrh S= 2*n*(…

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

A: Volume of the tin will be difference of volume of outer cube and volume of inner cube.

Q: The region bounded by y = 0 and y = kx – x is revolved around the y-axis to form a solic whose…

A: Given,        y=0, and  y=kx-x2

Q: FIND THE TOTAL MASS OF THE WIRE WITH DENSITY P t't + 2ty, ztj, ріх, у) - бду, 044 (0) :

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Q: Find the volume V of the described solid S. A right circular cone with height 7h and base radius 4r…

A: Given that height of right circular cone is 7h and the base radius is 4r.

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: (a) If h is the height of a pyramid and A is the area of its square base, find the volume of the…

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Q: Given the diagram below: 10

A: After rotatingthe trapezoid around the x-axis. We get two cones and a cylinder. Find the volume of…

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: Find the volume V of the described solid S. a right circular cone with height 5h and base radius 3r…

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

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Q: Consider a thin wire of mass m and length L going from x = a to x = b. Let the density of the wire…

A: Given that a thin wire of mass m and length L going from x=a to x=b. The density of the wire is…

Q: A closed cylindrical can is to have a volume of V cubic units. Show that the can of min- imum…

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Q: The base of the solid S is the region enclosed by the graph of y=sqrtln(x), the line x=e and the…

A: Given The base of the solid S is the region enclosed by the graph of y=sqrtln(x), the line x=e and…

Q: Q3) Find volume of body from below z = x² + y² and above z = 1.

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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: Consider a thin metal plate that covers the triangular region shown below. If the density in the…

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Q: ind the volume generated by revolving the area 1 unded by y = 2 x³ + 15x² + 56x Round the answer to…

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Q: Let A be the area in the first quadrant bounded by the y-axis, the x-axis, and the line y=−2 x+3.…

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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: The volume of the solid that results when the shaded region revolve around the indicated X-axis 4.…

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Q: The solid S has a base described by the circle x² + y² = 1. Cross sections perpendicular to the…

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Q: Find the volume of the solid obtained by rotating the area bounded by y = sin x and the x-axis on…

A: Given curve is : y=sinx To find the volume.

Q: Find the volume of the wedge in the figure by integrating the area of vertical cross-sections.…

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Q: 2. Let V be the volume of a right circular cone of height 10 whose base is a circle of radius 4…

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Q: Which of the following should be used to minimize the lateral surface area of a cone, where the…

A: According to our guidelines we are supposed to do only one question. Kindly repost the other…

Q: Q3) Find volume of body from below z = x2 + y? and above z = 1.

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Q: An oil storage tank can be described as the volume generated by revolving the area bounded by =D0,…

A: Graph the curves to find the area bounded by them: Volume of area revolved about x-axis is given…

Q: H.W 3: If the mass of a vessel full of water is 15 kg, the mass of the empty vessel is 5 kg, and the…

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Q: find the volume of the solid with the given base and cross sections. The base is the unit circle x2…

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Q: 1. Let V be the volume of a pyramid of height 20 whose base is a square of side 8. (a) Use similar…

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: A rectangular swimming pool is 38 ft wide by 75 ft long. The table gives depths (d) from x =0 at the…

A: Solution: V=∫07538·d(x)dx using trapezoidal rule with n=15

Q: Find the Area of the hegion baudded by the ghaphs Of y=x3 and Y = 4x Using integtation Determine the…

A: Given:      y = x3       y = 4x

Q: A rectangular swimming pool is 40 ft wide by 75 ft long. The table gives depths (d) from x = 0 at…

A: We have to find the volume of the pool using Trapezoidal rule.

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: A rectangular swimming pool is 46 ft wide by 75 ft long. The table gives depths (d) from x = 0 at…

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Q: 5. For the right circular cylinder, suppose that r = 5 in. and h = 6 in. Find the exact and…

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Q: For the right circular cylinder shown, r = 4 cm and h = 6 cm. IT Find the exact a) lateral area. b)…

A: Since, for the right circular cylinder we have been given r=4 cm and h=6 cm.Our Aim is to find:-(a)…

Q: Use n=4 Find the volume of revolution obtained by rotating the area between the functions y=x² , x=n…

A: The region is bounded by y=x2, x=n2=42=2, and y=0 and rotated about the y-axis. The region can be…

Q: = 36 is revolved about the line The area enclosed by the curve 4x² + 9y? = 2. Find the volume…

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Q: Find the mass of the lamina in the first quadrant bounded by y = x° and y x. The density at any…

A: According to question y=x,y=x2ρ=x

Q: Find the volume of revolution about the x -axis for the given function and interval f(x) = = 3x – x2…

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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: Q2) Find the volume of a cylinder with the dir below.* radius = 16 in; height = 27 in

A: Given for a cylinder radius = 16 inheight = 27 involume =?

Q: Find the total surface area of the solid below. Round your answer to the nearest hundredth. v = 5.5,…

A: We know that area of trapezium is given by 12(a+b)h Hence area of front is AF = 12x+zv=…

Q: The solid shown consists of a right circular cylinder od diameter d and altitude of h, surmounted by…

A: The solid shown consists of a right circular cylinder od diameter d and altitude of h, surmounted by…