The exterior of a cone consists of two parts: a circular base and a curved lateral surface. O True O False

Q: 3. Find the volume of the object cut from the cone z = Vx² + y² by the plane z = 1.

A: The volume of a solid can be obtained by considering a small volume element and integrating within…

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: What is the spherical excess of a 600 cu cm spherical pyramid extracted from a sphere of radius 10…

A:

Q: 6) Find the lateral surface area of the cone.

A: Given,            The figure of a cone is shown below :

Q: The altitude of a spherical segment is 12 cm drawn on a sphere whose diameter is 50 cm. The radius…

A: Here I am attaching image so that you understand each and every step.

Q: The circular cross-section of the cylinder, y + z? = 4, can be obtained by cutting it along any…

A:

Q: The volume in spherical coordinates for the solid that lies within the sphere p= 2 above the…

A: volume in spherical coordinate

Q: Find the volume of the solid that lies above the cone z = Vx² + y? and inside the sphere x² + y² +…

A: To find the volume of a solid abov the cone  and inside the sphere Firstly find the region in…

Q: Find the surface area of the sphere with radius of 7 in. Leave your answer in terms of T. 287 in 2…

A:

Q: Use the disk method to verify that the volume of a sphere is 4/3 πr3 , where r is the radius ?

A: So sphere is basically a circle that is rotated through the x-axis. We will suppose to cut a disk…

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 smaller wedge cut from a sphere of radius 10 by two planes that intersect…

A: Here we have to find the volume of the similar wedge cut from a sphere of radius 10 by two planes…

Q: Find the lateral surface area of the net below

A: Given:

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 solid that is enclosed by the cone  z = sqrt(x2 + y2) and the sphere  x2 +…

A:

Q: Find the center of mass of a circular cone of regular steel of height (b)

A: It is given that a circular cone with height b and radius R

Q: Use spherical coordinates to find the volume of the top half of the sphere x? + y? + z? = 4 that…

A: Given that a sphere x2+y2+z2=4 and a cone is z2=x2+y2 We have to find the volume of the top of the…

Q: Use spherical coordinates to find the volume of the solid enclosed by the sphere x2 + y² + z? = 4a?…

A: This question is about finding volume of solid enclosed by sphere. We can find it using triple…

Q: Find the volume of the solid that is enclosed by the cone z = x² + y² and the sphere x² + y² + z² =…

A: Given: Equation of cone z=x2+y2 Equation of sphere x2+y2+z2=2

Q: Find the volume of the tetrahedron bounded by the four planes x=0,y=0,z=0, and 2x+2y+x=4?

A: The equation of the plane 2x+2y+z=4  can be rewritten in the form  z=4-2x-2y let z=0, 0=4-2x-2y…

Q: Calculate /| xz dS, where K is the part of the cone z = Va2 + y? where z < 2.

A: Given the surface

Q: Find the volume of the solid lying above the cone z = +y? and below the sphere z + y² + z? = 4.

A: Cone:-  z2 = x2+y2 Sphere:- x2+y2+z2 = 4

Q: Find the surface area of the part of the sphere x? + y² + z? = 4 that lies above the cone z = I² +…

A:

Q: 2. Use spherical coordinates to find the volume of solid within the sphere x² + y² +z? = 16 and…

A: we have to given equation of sphere is x2+y2+z2=16 and equation of cone is 3z2=x2+y2 we have to find…

Q: Use the disk method to verify that the volume of a right circular cone is 1/3 πr2 h, where r is the…

A: Given that: verify that the volume of a right circular cone is 1/3 πr2 h, where r is the radius of…

Q: Use the Shell method to find the given volume of rotation. A sphere of radius r

A: We take an upper half of a circle of radius r and then rotate it about the x-axis. Equation of the…

Q: Use spherical coordinates to find the volume of a solid that lies above the zy- plane, outside the…

A: The given 2 spheres are: x2+y2+z2=4…1x2+y2+z2=2z…2 The plane of intersection of the 2 spheres: To…

Q: Does Cavalieri's Principle apply to the volumes of the cones shown? Explain. The cones have and The…

A:

Q: Determine the volume generated by revolving the plane figures about line a-a. a y 3m 2m 2m 2m 2m 2m…

A: ----------------------------------------------------------------------------- Equation of line…

Q: Find the center of mass for a quarter of a regular circular plate of radius (b) b

A:

Q: The volume of the parallelepiped is Volume = |a x b||c|| sin | = |(a × %3D b). c| True False

A: Using direct formula

Q: A can of tennis balls is twelve inches high and has a diameter of four inches. The can holds three…

A: Volume left between can and tenis balls =  Volume of cylinder - volume of 3 balls.

Q: Use spherical coordinate to find the volume above the cone z² = x² + y and inside sphere x² + y? +…

A: The equation of cone is, z2=x2+y2 The equation of sphere is, x2+y2+z2=2az

Q: Calculate the lateral surface area of a hollow lampshade shaped as a frustum of a cone. The lower…

A:

Q: Find the volume V generated by rotated the

A: 32.  Given the curve                           f(x)=3xln3  over 1, 3

Q: Show that the volume of a sphere of radius r is V = 4/3 pie r 3

A:

Q: Use the disk method to verify that the volume of a right circular cone is (1/3)π r2h, where r is the…

A:

Q: 9. Find the volume of the solid enclosed by the cone z = Vx? + y? and the plane z = 4.

A: we have to find the volume of the solid

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

A:

Q: 4. Use Maple to draw the torus whose equation in spherical coordinates is given by p= sin(ø), and…

A: Given Use Maple to draw the torus whose equation in spherical coordinates is given by ρ=sinϕ.

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: Find the volume of the solid that lies within the sphere x2 + y² + z² = 64, above the xy-plane, and…

A: To find the volume if the solid within the given sphere above xy-plane and below the cone:…

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

A: the circle: (x − 7)2 + y2 = 16 = 42 Compare it with standard equation of a circle: (x - a)2 + (y -…

Q: Compute the volume of W using cylindrical coordinates.

A:

Q: Determine the volume of the solid lying under the elliptic paraboloid z = 6y? – 2x2 + 3 and above…

A: To evaluate the integral

Q: Find the volume of the solid enclosed by the cone z = sqrt(x2 + y2) between the planes z = 1 and z =…

A:

Q: Find the volume of the solid that is enclosed by the cone z = and the sphere x² + y2 + z2 = 72.

A:

Q: . A cone with radius 9 and slant height 15 has volume ___and lateral area____?

A: to find the volume and lateral area.

Q: Use the disk method to verify that the volume of a sphere is (4/3)π r3 , where r is the radius.

A: Volume of sphere of radius r is (4/3) πr3

Q: Find the volume of the first-octant portion of the "wedge" of the sphere x? + y? + z? = 64 bounded…

A: