Use the theorems of Pappus to find the lateral surface area and the volume of a right-circular cone.

Q: Find the volume of a spherical cone whose base segment has an altitude of 6 cm and the radius of the…

A: Given.

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

A:

Q: What is the surface area of this cone?

A: To find: The surface area of the cone. Given: The radius of the cone is 9 inches and height of the…

Q: Find the volume of the cone.

A: We know that the volume of a slant cone is same as the volume of a regular cone. Given that,…

Q: A right circular cylinder has a radius of 10 inches and a height of 16 inches. Find the lateral…

A: Lateral surface area = 1005.7 Square inches Total surface area = 1634.28 square inches  Volume of…

Q: Use the Theorem of Pappus to find the volume of thegiven solid.A cone with height h and base radius…

A:

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: A right circular cone is inscribed in a cube having a diagonal which measures 10√3 cm. Find the…

A:

Q: Find the volume and the surface area of a “closed box" that has dimensions of 9 in., 10 in., and 1…

A: Given: The dimensions of the closed box are 9in 10in and 1 ft, To find the surface area of the…

Q: Find the volume of this cone.

A: we have to find the volume of the given cone.Given : radius of cone =11 mheight of the cone : 27 m

Q: Calculate the surface area of a sphere of radius a.

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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 unit sphere.

A:

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: The sides of the base of a regular octagonal pyramid is 8 cm. The angle between the lateral edges…

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Q: Two identical spheres are placed so that one is on top of the other inside a right circular cylinder…

A: This question is related to cylinders and spheres, we will solve it using given information.

Q: Find the volume of the torus generated by revolving the circle (x−5)2+y2=4 about the​ y-axis. What…

A: Here, equation of circle is: (x-5)2+y2=4 So, the centre of the circle is (5,0) and radius will be 2.…

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

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Q: Find the volume of an oblique cone with radius 4 and height 3.5?

A: Given that : Radius ( r) = 4 and height (h) = 3.5 .

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

A: Using spherical coordinate.

Q: Find the volume of this sphere.

A: From given figure, the radius of the sphere is 8 feet.

Q: Find the volume and show work

A: Given To Evaluate Volume:

Q: Find the volume of the sphere belo 8 in

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Q: Find the volume of the torus generated by revolving the circle (x - 2)2 + y2 = 1 about the y-axis.

A: To determine the volume of the torus generated by revolving the circle.

Q: Find the Volume enclosed by N = x2+y² and

A:

Q: Find the volume of the solid whose base is bounded by the circle x2 + y? = 36 and whose cross…

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

Q: Find the volume of the cone

A: Given, Slant height of cone = 17 m  Height of the cone = 15 m   We have to find the volume of the…

Q: What is the surface area of a right cone whose base diameter is 40 cm and whose height is 21 cm?

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Q: Find the surface area of the composite solids.

A: We have been given a figure which consists of 2 cones and a cylinder and we have to find the total…

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 parallelepiped.

A: TO FIND VOLUME OF Parallelepiped VOLUME = | a→ .(b→*c→) |  vectors a,b,c are the adjacent edges of…

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

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Q: Find the Lateral Area of the triangular prism below.

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Q: Use calculus to find the volume of a cap of a sphere with height h and radius r.

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

A:

Q: The volume of the sphere with the radius 8 is = cubic units 1024T 3 5127 3 2048T 3 30727 3

A: The formula for volume of sphere is given by: V=43πr3 Where r is the radius of sphere. Here r=8

Q: Find the volume of the torus (donut) with radii r and R as shown in the figure.

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Q: Find the volume enclosed by the torusp = 4 sin().-

A: The volume is given by: V=∫∫∫dv In spherical co-ordinate dV=ρ2sin φ dρ dφ dθ

Q: What is the volume of the cone?

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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: Find the volume generated by revolving the area bounded by the parabola x2 = 4y and its latus rectum…

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Q: Find the volume of the largest right circular cylinder that can be inscribed in a sphere of radius…

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Q: Find the surface area and volume of the sphere.

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Q: Find the volume of spherical segment of one base and altitude h cut from a  sphere of radius a.

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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: Two identical spheres are placed so that one is on top of the other inside a right circular cylinder…

A: topic - volume of cylinder

Q: What is the fomula for the volume of a sphere?

A: A sphere is a set of points in space that are a given distance r from the center.

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 the oblique circular cylinder. The axis meets the plane of the base to form a…

A:

Q: Calculate the total surface area of a right circular cone given the diameter of the base is 5 in.…

A: surface area formula = πrl slant height   l=h2+r2 l = 82+(2.5)2 l = 8.38 surface area =…

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.