The surface area of a three-dimensional figure is a measure of the total area of the exterior of the figure. O True O False

Q: The surface areas of two similar figures are given. The volume of the larger figure is given. Find…

A: Given that the surface areas of two similar figures are given. The volume of the larger figure is…

Q: What is the area bounded by the positive x-axis, x = 4, and y = x? (5 pts) a. 8 sq. units b. 10…

A: It is given that, y=x, x=4 and positive x-axis. Area of region bounded by the graph can be…

Q: Find the area inside the cardioid r=5+5cos(θ)

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Q: A trough is made from a rectangular piece of metal by folding up the sides as shown in the figure…

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Q: 5. Find the total surface area of the given figure below. If L = 12ft, Y = 4ft, X = 9ft E Y G: 60°

A: To find the total surface area of the given figure below.If L=12 ft, Y=4 ft,  X=9 ft

Q: Find the volume of the "island" which has a surface defined by 20 - 2 over the region on which it is…

A: To find the volume of the island whose surface is given by, z=201+x2+y2−2

Q: Find the volume of a solid obtained by rotating the region enclosed by the graphs of y = e*, y = 1 –…

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Q: 2 cm Find the volume of the composite space figure to the right to the nearest whole number. 3 cm 7…

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Q: 2.Find the area of the region enclosed by: y = x° and y = x*

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Q: 5. Find the area of the region enclosed by y 1 1 y = x, y = x, and x > 0.

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Q: Find the volume of the composite space figure to the right to the nearest whole number. 10cm 7em The…

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Q: Find the volume of the triangular prism to the right. 12t The volume of the prism is . (Type an…

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Q: Find the area of the region enclosed by x - y? = 0 and x + 2y? = 3 25 - O A) 2 O B) 3 OC) 5 O D) 1 O…

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Q: 6. Find the total area between the region and the x-axis y = -x² – 2, –3 < x < 2 %3D

A: Find the zeroes of the function as follows. y=0-x2-2x=0x-x-2=0x=0, x=-2  The zeros divide the…

Q: Addition alone is used to find the area of overlapping figures. O True O False

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Q: What is the volume formula for the solid figure below? O V = Bh O V=-Bh O r* O V=- O V = r'h

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Q: A soccer ball is packaged in a cube-shaped box. 20 cm 10 cm 20 cm -20 cm- Which is closest to the…

A: Mensuration Question

Q: ng b. Verify the answer using the formulas for the volume of a sphere, V =ar, and for the volume of…

A: The volume of a sphere with radius(r) is 23πr3. The volume of a cone with heighth and radius(r) is…

Q: The area of the region defined by 1< |r – 2|+ \y+ 1| < 2 is а. 2 b. 4 c. 6 d. None of these

A: Here we will find the area of the region defined,

Q: What is the formula for the volume of a cone? OV = Tr²h O None of the above O V = Tr .3 O V = Tr² 3.

A: Volume of cone :

Q: Let B be the solid whose base is the circle x2 + y? = 121 and whose vertical cross sections…

A: Given x2+y2=2y=2-x2

Q: Determine the area of the region enclosed by y=x^2 and y=x^1/2 A) 1/3 B) 1/4 © 1/5 D 1/6

A: To find the area enclosed between the two given curves.

Q: Find the area of the region enclosed by y = 4.75x and r = 8.5 – y?. 5 6 7 8 on

A: Given two equations To find the intersection of both equations, use substitution method

Q: Find the surface area and volume of the given figure below.

A: We use the formula of volume of cuboid = l×b×h and volume of cylinder = πr2h .

Q: Find the volume of the region bounded by z = 108 – y, z = y, y = x², and y = 54 – x². - (Use…

A: Given that the region is bounded by z=108-y, z=y, y=x2 and y=54-x2. Equating y=x2 and y=54-x2, we…

Q: Refer to the figure and find the volume Vgenerated by rotating the given region about the specified…

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Q: 625 The volume of a right circular cone of radius x and height y is given by V = Txfy. Suppose that…

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Q: 1. Determine the area of the region enclosed by x = y? - 3 and y = x - 1.

A: Given the two function  x=12y2−3y=x−1

Q: Find the area of the region that is enclosed between y 14x? – x³ + x and y = x? + 41x. The area is

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Q: x= y? + 2 R y -4

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Q: Let B denote the area of the base of a prism and S the lateral surface; then write a formula for the…

A: Given:  B denotes the area of the base of a prism and S the lateral surface. We know that the…

Q: Find the total area enclosed between y = x³ and y = x over the interval [-1,9]. NOTE: Enter the…

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Q: The Infinite Gift consists of cubical boxes arranged side by side. The first box has side length the…

A: The infinite Gift consists of cubical boxes arrange side by side.The first box has side length 11The…

Q: Find the area of the region enclosed between f(x) = x? – x + 20 and g(x) = 2x? – 2x. Area = .. ...…

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Q: 5. Find the area of the region enclosed by y = =, y = x, Y = 7x, and x > 0.

A: Ans: 0.69315 sq.unit

Q: A box of Kleenex is 4 inches wide, 9 inches long, and 5 inches tall. Calculate the \ateral surface…

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Q: solid sp

A: We have given solid sphere, that is, cut by plane 30 cm from its center and area of small cut by…

Q: Find the Volume of the figure. Leave your answer in terms of T.

A: Volume of cylinder V =pi ×r2×h Radius, r=5km Height, h=9km.

Q: Find the area of the region. f(x) = 25 – x? y 30 25 20 15 10 5 -10 10

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Q: Find the volume of the cone shown below. 25 24 17 A. 392 units B. 1176 units C. 11767 units D. 392…

A: We will find the volume of cone as following.

Q: (d) What is the total surface area (in m2) of the figure? (Include painted surface, roof, floor, and…

A: d. The area of the roof to be covered with shingle is 1230 square meter. The total surface area of…

Q: A rectangular piece of paper 11 cm × 4 cm is folded without overlapping to make a cylinder of height…

A: Given that a rectangular piece of paper 11 cm × 4 cm is folded without overlapping to make a…

Q: (Hint: The formula for the volume of a cone is V -r*h.) ft/min

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Q: Find the total surface area of the composite solid. 2. 7. 2. SA =_

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Q: Find the area of the region enclosed by x - y? = 0 and x+ 2y2 = 3 2- O A) 2 O B) 4 C) 3 O D) 1

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Q: Find the area of the region enclosed x = y? – y and x = 2y? – 2y – 6

A: area = upper curve - lower curve

Q: Find the area of the region enclosed by x = y' and x Vy- 6. Answer:

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Q: For the box shown, the total area is 64 cm2. (Assume that all the dimensions in the figure are in…

A: Given, Total area = 64 cm2

Q: The cardboard used in the construction of the box shown in the accompanying figure has an area of y…

A: Given: The area of the given figure is xy+yz+xz+xz+yz+xy To find: The simplified form of the given…

Q: 20. Write an expression for the volume of the solid in terms of x. a. V = ar?h b. V = (wh 3x 5x 2x

A: