1-35. Show that the volume common to the intersecting cylinders defined by x? + y = a? and x? + z? = a' is V= 16a/3.

Q: Find the volume of the region between the cylinders x² + y² = 36 and x? + z2 = 36.

A:

Q: The volume generated by revolving the area bounded by the curve y = x² and y = 4 around the line y =…

A: We can use the formula π∫abR(x)2dx to evaluate the volume.

Q: Q5) Find volume of body bounded by z = -y2 from below and z = x from above inside y = 0,y = x,x 1.

A: We have to find the volume of region.

Q: 17) Which cylinder will have the same volume? y: y 0. X-

A: We know the volume of a cylinder is given by, V= πr2hWhere, r is radus of the cylider, and h is…

Q: A hole of radius 3 is bored through the center of a sphere of radius 5. Let the cross-section of the…

A: Given: x2+y2=25 To find: Solution

Q: Show that the largest cylinder that could be inscribed in a sphere of radius 4Tr3 r has a volume of…

A:

Q: Use chain rule to find given x² + 2y² + z² and x os (st), y %3D Cos

A: Solve the following

Q: Q3) Find volume of body from below z = x2 + y? and above z = 1.

A:

Q: 6. The volume (in ft') of a sphere with radius 2 feet is given by the integral a,2-x' dx a. TC 7[…

A:

Q: The volume of a pyramid is given by V =1/3 S2 H , where the side S = 100 ± 2 and the height is 60…

A: The volume of the pyramid: - The space contained between the faces of a pyramid is referred to as…

Q: Find the Derivative of the given function. If y = cos +zv1- 2² , then dy dz Note: simplifying the…

A: Find the derivative

Q: + 28 dy dx2 + 612+ 37y = 0 dx3 dx

A: This question is related to diffential equation.

Q: A hole of radius 3 is bored through the center of a sphere of radius 5. Let the cross- section of…

A: we will draw region which can be rotated to create solid region whise volume needed to find . Then…

Q: If z = eax+by az then a az is ay

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

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.