Use the general slicing method to find the volume of the following solid. The solid with a semicircular base of radius 18 whose cross sections perpendicular to the base and parallel to the diameter are squares The volume of the solid is cubic units.

Q: Two half-cylinders of diameter 2 meet at a right angle in the accompanying figure. Find the volume…

A: As a first step, we will find the volume common to two circular cylinders, each with radius r, if…

Q: Use the method of washer to find the volume of the solid that results by revolving the region…

A: The washer mehtod:      Assuming that function fx and gx are continous and non      negative  on…

Q: A metal ornament is made in the shape of a cone with radius 4.7 cm and height 8.3 cm A.) find the…

A: Given that, a metal ornament is made in the shape of a cone with radius 4.7 cm and height 8.3 cm.

Q: Use the shells method to calculate the volume of a sphere of radius ?. Let the y axis be the axis of…

A: We have to find the volume of the sphere of radius r using shells method.

Q: Given a sphere with radius r, find the height of a pyramid of minimum volume whose base is a square…

A: Draw a figure from the given information, a sphere with radius r the base of the pyramid is square,…

Q: Into a right circular cone, whose base diameter is 24 cm and the slant height is 20 cm, is inscribed…

A: Into a right circular cone, whose base diameter is 24 cm and the slant height is 20 cm, is inscribed…

Q: Find the volume of the right-circular cylinder using slicing, given that its base has a radius of 2…

A: A right circular cylinder,   ⇒        radius of cylinder(r)=2 units  ⇒       height of…

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: Find the volume of the torus generated by revolving the circle (x - 2)^2 + y^2 = 1 about the y-axis.

A: Given: (x-2)2+y2=1

Q: Find the volume of the torus formed by revolving the circle x2 + y2 = a2 about the line x = b(b >…

A:

Q: Find the volume of the solid whose base is in the first quadrant bounded by y = 7- 7x, the x-axis,…

A: To find the volume of the solid whose base is in the first quadrant bounded by the below curves, and…

Q: Find the volume of the solid whose base is a triangle with vertices (0, 0), (0, 5), and (5, 0).…

A: Sketch the base of the solid as follows.

Q: Choose the best coordinate system to find the volume of the portion of the solid sphere ps3 that…

A: Using spherical coordinate.

Q: The base of a solid is the circle x² + y? = 25. Find the volume of the solid given that the cross…

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Q: A square right regular pyramid is formed by cutting, folding, and gluing the pattern to the right.…

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Q: Find the volume of a gift box with a uniform cross-section which is a regular pentagon. 5 points 8…

A: Solution...

Q: 5. Ay 1 y = ycos x π 4.

A: Apply the washer method; The volume of revolution of the curve about x-axis, from x = a to x = b is…

Q: Find the volume of the described solid S frustum of a pyramid with square base of side b , squaretop…

A: Given-  Frustum of a pyramid with square base of side b , square top of side  a , and height h. To…

Q: The base of a solid is the region enclosed by the graph of y = vln x, the line x = e, and the…

A: Given,  The base of solid is the region enclosed by y=ln(x), the line x=e and the x-axis. Also…

Q: ind the volume of the solid whose base is a triangle with vertices (0, 0), (0, 5), and (5, 0).…

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Q: ind the volume of the solid that results when the region enclosed by = y and x = y is revolved about…

A: Given query is to find the volume of the solid generated.

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Consider two continuous functions and  such that on the the interval. Take the region bounded by…

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: 11. Find the volume of the given right tetrahedron. (Hint: Consider slices perpendicular to one of…

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Q: Find the volume of the given right tetrahedron. (Hint: Consider slices perpendicular to one of the…

A: Given:

Q: Draw a typical slice of a pyramid with height 4 units and a rectangular base with length 2 units and…

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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…

A:

Q: The result of slicing through the center of the solid S is the base described by the ellipse + - =…

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Q: Find the volume of liquid needed to filla sphere of radius R to height . R

A:

Q: Draw a typical slice and find the volume using the slicing method of a tetrahedron with a base with…

A: According to the slicing method, the volume of a tetrahedron is: V=∫0hA(x)dx Where h is the height…

Q: A torus is generated by rotating the circle x2 + (y – R)² = r² about the x-axis. Find the volume…

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Q: Find the volume cut from the sphere radius r = 15 by the cone ki+

A: To compute the volume using spherical coordinates, use the following formula. V=∭r2sinθdrdθdϕ

Q: Use the general slicing method to find the volume of the following solid. The solid with a…

A: Given that the solid is with semicircular base of radius 4 whose cross sections perpendicular to the…

Q: Which of these is the shape created by slicing straight across a figure parallel to the base?…

A: cross-section

Q: Find the volume of the torus obtained by revolving the circle x^2 + y^2 = 4 about the line x = 3.

A: Find the volume of the torus obtained by revolving the circle x^2 + y^2 = 4 about the line x = 3.

Q: = 1, 62 a2

A: We have solve the volume of the given ellipse

Q: 54. The base of a solid is the circle x² + y? =16. Find the volume of the solid given that the cross…

A:

Q: 35. Find the volume of the “torus" (Figure 3), obtained by rotating the circle (x – a)? + y? = 6² (a…

A:

Q: b) A bead is formed from a sphere of radius 5 by drilling through a diameter of the sphere with a…

A: Given,  Radius of sphere  R= 5  Bead radius   r= 3

Q: 7. 3. x = V1 +y

A: Topic = Volume

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: For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and…

A: a) The measure of the triangular base is 4 m, 5 m and 6 m and the altitude is 7 m. The lateral area…

Q: Find the volume of the solid whose base is the circle x² + y² = the x-axis are triangles whose…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A:

Q: Find the volume of the solid that is formed when the following bounded region is revolved about the…

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Q: Consider the object whose base is the region 0 < x < 6 and 0 < y < 4, and whose height is given by…

A: Consider the provided question, Consider the object whose base is the region 0≤x ≤6 and 0≤y≤4 .And…

Q: 1. Apply the slicing method to find the volume of a pyramid with height hand base an equilateral…

A: In this question, the volume using integration is applied. Integration Integration is a method of…

Q: 4. Use the general slicing method to find the volume of the following solid. The solid with a…

A: Given data: Radius=17 Solution: The equation of circle with radius 17 is  x2+y2=172 x2+y2=289…

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Given problem:-

Q: 11. Find the volume of the given right tetrahedron. (Hint: Consider slices perpendicular to one of…

A: The area of the base of the tetrahedron= area of the triangle  i.e., A=12baseheight Now, 5,0, 0,4…