Determine whether the statement is true or false. a) The volume of a right circular cone is given by V = Bh, which can also be expressed in the form V = rr'h. b) A regular dodecahedron has exactly 12 faces. %3D

Q: A circular cylinder is to be generated by revolving a rectangle with a given perimeter p around one…

A: Step 1   Perimeter = pGiven rectangle of length = h, width = r is revolved and circular cylinder is…

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: Use the Theorem of Pappus to find the volume of thegiven solid.52. A sphere of radius r

A:

Q: Use the Theorem of Pappus to find the volume of the solid of revolution. the torus formed by…

A:

Q: Find the volume of a solid where the base of the solid is  a circle with radius 2, and the cross…

A: Let the circle be centered at origin and the radius is 2.

Q: 5. Use the Pappus Theorem to find the volume of the solid formed by revolving the region enclosed by…

A: In this we find the volume of the solid by using pappus theorm.

Q: The volume of the sphere with the radius 5 is cubic units O 125 125 3 O 500 3 O 250 250 3 O 750 3

A: Volume of sphere

Q: Find the volume of a sphere with a surface area of 2304a in The volume is in. (Type an exact answer…

A: Area is the space covered by the object or any geometric figure. It is the region bounded by the…

Q: A pentagonal pyramid has a base dimension of 3m and a height of 9m. determine: A. the slant height…

A:

Q: Two cubes each of volume 27 cm3 are joined end to end to. Form a solid. Find the surface area of the…

A:

Q: A cylinder with height 10 and radius 6 is inscribed in a square prism.Make a sketch. Then find the…

A: Given:         Cylinder with height 10 and radius 6.

Q: In a right circular cone, the radius of the base is 4in and an element is 12in. Find the lateral…

A: Find your answer below

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: In a frustum of a cone of revolution the radius of the lower base is 11in., the radius of the upper…

A:

Q: 5. Find the volume common to two circular cylinders, each of radius r, that intersect at right…

A:

Q: If the volume of a cone is 6 7 with radius 3, then its height is Select one: O a. 3 O b. 1 c.2 O d.…

A:

Q: Use the Theorem of Pappus to find the exact volume of a general cone created vertices (0, 0), (1,0),…

A:

Q: My pratice questions please

A: Given query is to find the formula of the volume for the right triangle prism.

Q: A solid has a circular base of radius 3. What is the volume of the solid if vertical cross-sections…

A:

Q: A cone has been cut from the upper half of the unit ball as the figure below shows. Then what is the…

A: We have a hemisphere of radius = 1 and a cone has been carved out of it leaving the remaining solid.…

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: lateral edges of the  solid measures 7, 3, 2, and 4 inches respectively, determine its volume.

A:

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

A:

Q: 5. A 210° sector is cut out of a circular piece of tin with radius 6 in and bent to form the lateral…

A:

Q: Find the volume of the solid whose base is a triangle with vertices (0, 0), (0, 4), and (2, 0).…

A: Given vertices of the triangular base is 0,0, 0,4 and 2,0. We know the equation of the line passing…

Q: A square pyramid whose base width is óm has an altitude of 12m is cut by a plane parallel to the…

A:

Q: A regular square pyramid has lateral area 60m2 and base edge 6 m. Findthe volume

A: We know that the lateral area (A) of a square pyramid is: A=aa2+4h2 where a is the base edge and h…

Q: How can I find the volume of the cylinder with the given information from the tabe? The seconf…

A: Use the given formula for the volume to determine the volume of cylinder in each trial. V=πd24h

Q: 23. The base of a solid is a circular disk with radius 3. Find the volume of the solid if parallel…

A:

Q: Find the volume of the regular pyram e area of the base is 166.276 sq m. The height is 24 m. 8 m

A: The volume of regular pyramid is 13×area of base × height=13×166.276×24=1330.208 m3 The answer is…

Q: 7) Find the volume of the resulting shape when the shaded area given below is rotated 2 Tt around y…

A:

Q: 41. Find the volume of the solid which is the intersection of the two cylin- ders in Figure 9. Hint:…

A: Given: A solid with a circular base of radius a. Each plane perpendicular to the diameter AB…

Q: A regular triangular pyramid has an altitude of 9 m and a volume of 46.8 m^3. Find the lateral area…

A: Given: Altitude of triangular pyramid: h=9  mVolume of the pyramid:  V=46.8  m3

Q: A sphere is inscribed in a cone with radius 6 cm and height 8 cm. Findthe volume of the sphere.

A: Given:r=6 cm h=8 cmVolume of the sphere=43 πr3

Q: Exercise 3. A cylinder with open top, closed bottom, radius r and height h has an outer surface area…

A: Given : Surfcae area of the open top cylinder is 8 cm²

Q: = 1, 三 a NIU + +

A: Here Let u = x/a, v = y/b , w = z/c Then dx = a du, dy = b dv, dz = c dw So, Required volume V =…

Q: A right prism has height h and bases that are regular hexagons with sides s. Show that the volume is…

A: It is given that bases are regular hexagons with sides 's'. It clear from the figure that a hexagon…

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

A:

Q: The base of a right prism is a triangle whose sides have lengths of 9 in., 15 in., and 12 in. The…

A: Given that the sides of the bases of a right prism are of lengths 9 in., 15 in. and 12 in. The…

Q: A sphere with radius r is inscribed in a cylinder. Find the volumeof the cylinder in terms of r.

A: let a right circular cylinder of radius 'R' and height 'H' is inscribed in the sphere of the given…

Q: 5. A solid is formed by cutting a conical section away from a right circular cylinder. If the radius…

A: Find the volume of the resulting solid.

Q: Engr Thomas Pendot wants to construct a frustum from a right circular cone. At what distance from…

A: Let h be the distance from the base of the right circular cone which also the height of the frustum.…

Q: Use the Theorem of Pappus to find the exact volume of a general cone created by rotating a triangle…

A:

Q: A cone has been cut from the upper half of the unit ball as the figure below shows. Then what is the…

A: Consider the conical cavity inside the unit hemisphere. The radius of the sphere is 1 unit and the…

Q: Compute the volume lying inside the sphere x? + y? + z? = 37 but outside of x² + y? = 21.

A:

Q: The volume of the sphere with the radius 8 is = cubic units 30727 3 512T 3 2048T 10247T 3

A: To solve this we will use the formula of volume of sphere.

Q: Find the volume of a sphere with a surface area of 144n in?. The volume is in. (Type an exact answer…

A: Our Aim is to find the volume of a sphere with a surface area of 144π inch2.

Q: 1. Use Pappus' Theorem to find the volume V of the torus generated by revolving a circular region of…

A: There are two Theorem by Pappus 1st for surface area of revolution and 2nd for volume of revolution…

Q: A cylinder of radius 3 is cut through the center of the base by a plane making  an angle of 45…

A: Given,           A cylinder of radius 3 is cut through the center of the base by a plane making  an…