Find the lateral (side) surface area of the cone generated by revolving the line segment y =7x, Osxs7, about the x-axis. Check your answer with the following geometry formula. Lateral surface area = x base circumference x slant height

Q: Use the arc length formula to find the length of the curve y = V 16 – x2, 0 s x < 4. Check your…

A: Circumference of a circle = 2 * π * radius

Q: Use the arc length formula to find the length of the curve y = V2 – x², 0 < x< 1. Check your answer…

A:

Q: Sketch the section of the surface at x = 0. y? – 42? = 4

A: Given

Q: Use the arc length formula to find the length of the curve y = 3x – 5, -2sxs 3. Check your answer by…

A:

Q: Use the arc length formula to find the length of the curve y = 3x – 4, -3 < x < 2. Check your answer…

A: This question is based on application of coordinate geometry.

Q: How many square units is the area of the surface obtained by rotating the curve y = V16 – x2, 0<x<4…

A:

Q: Eve, an Al robot travelled to moon for US's space exploration. AS part of the mission, she is to set…

A:

Q: Find the lateral surface area and surface area of a cone with a base radius of 6 m and a slant…

A: I have provided answer in step2.

Q: Find the length of the arc of the curve 9y? = 4x³ from the origin to the point (3, 2V3). %3D

A:

Q: find the the area of the surface obtained by rotating the circle about the line x^2+ y^2=25…

A:

Q: Evaluate (3y - esinz)da + (7x+ V +1)dy where C is the unit circle

A:

Q: Determine the surface area generated by revolving the line segments about y-axis. 3m 4m 2m 1m 2m 2m…

A: Given , Line segment revolve around y-axis , we have to find surface area of formed shape .

Q: Find the lateral (side) surface area of the cone generated by re-volving the line segment y = x/2,…

A: Obtain the lateral surface area as follows.

Q: re has 16-cm sides. Describe its image for a dilation with center at one 0.8.

A:

Q: y b a a = 17 mm b = 4 mm C = 7 mm

A: Solution :-

Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y=(9/7)x, 0…

A:

Q: Use the arc length formula to find the length of the curve y = V 64 - x-,0sxs 8. Check your answer…

A: The solution is given as

Q: leo measure of ZY=90°, WY = 8, YX = 15, and ) resents the tangent of ZX? Submit Answer

A:

Q: Find the area of the surface generated by revolving the curve y = Osxs2, about the x-axis. 392x The…

A: We have to find the area of surface.

Q: If x = 5.9 m. and z = 10.0 m., then the LATERAL AREA of the cone is _____m2. Use 3.14 instread of pi…

A: Given,           x=5.9 m and z=10.0 m

Q: 5. Complete the square in order to determine the center and radius of the given circle: x² + 6x + y2…

A: This question is related to circle equation and area of shaded region inside circle.

Q: Find the points on the surface y? = 81+ xz that are closest to the origin.

A: Distance formula is                   d2=x2+y2+z2                  d2=f=x2+81+xz+z2 Since,…

Q: Sketch the following surfaces. i) = 5+ x² Vr+ iii)

A: We have to sketch the following surfaces:i)   z=5+x2+y2ii)  z=5-x2+y2iii) z=5-x2-y2

Q: Which one, y=ex, 1≤y≤2, gives the surface area of the solid formed by rotating the curve segment…

A:

Q: Find the isogonal trojedories of x*+y? =r at 45",

A:

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y=4…

A:

Q: Calculate - 2x²y dx + 2xy² dy, where C is the circle of radius 3 centered on the origin. use this…

A: Given that, Pdx+Qdy=-2x2dx+2xy2dy, Therefore, P=-2x2y, and Q=2xy2, Thus, need to use Green's Theorem…

Q: Q2 Calculate 8-る dz, where C is the circle of radius 7, centre 0, negatively oriented.

A:

Q: The formula for the surface area of a cone works for both right and oblique cones. O True O False

A: The given statement is not true.

Q: Find the lateral area of this cone. Leave your answer in terms of T. \25m -8m LA = [ ? ]a m² %3D

A: Use the formula for the lateral surface area of the cone: S=πr2+πrl Where r is the radius of the…

Q: Q1/Find the distance between(5,3I10to(5, Z10) in Cylindrical Coordinnde? Ans:lo

A: According to question Distance between 5,3π2,0 to 5,π2,10Let P1x1,y1,z1 and P2(x2,…

Q: Find the center and radius of tthe followi cirdle. X-x+y -y=D2 ing

A: Given equation

Q: y = x, y = vx; about x = 3

A:

Q: Find the area of the sector associated with a single slice of pizza if the entire pizza has a…

A: Given: Create a problem for arc length degree measures between 15 degrees and 345 degrees. To find…

Q: Find the surface area of the torus generated by revolving the circle given by r = 5a about the line…

A:

Q: coordinates

A:

Q: Determine the area of the region in the second quadrant that lies between the circle r = π and the…

A:

Q: Q: Discuss following surfaces' and the find Inte rcepts and Tra ces . ux? +4y2 + 2² - 16 =0 .

A: Given the equation is,  4x2 + 4y2 + z2 = 16 To find intercepts and traces Intercepts :  x intercept…

Q: 2 Find the lateral (side) surface area of the cone generated by revolving the line segment y =7x,…

A: Solution :                 Given  y = 23x                          0≤x≤5 Area bounded region is…

Q: 7. Find the surface area of the cone frustum generated by revolving the line segment x 1 y ==+ 1s…

A:

Q: Use the arc length formula to find the length of the curve y = 36 - x2, 0 s x S 6. Check your answer…

A: y=36-x2   , 0≤x≤6let f(x)=36-x2  Then  Arc length =∫061+(f'(x))2dx…

Q: Use the arc length formula to find the length of the curve  y=sqrt(2-x2) 0 ≤ x ≤ 1.  Check your…

A: Given the function:

Q: Where m = 90°, the solid of revolution determined by revolving right triangle about leg is a right…

A: Our Aim is to determine when m=90°, the solid of revolution determinedby revolving right triangle…

Q: Find the slant height of the cone whose lateral surface area is 22000 m' and radius is 140 m. 22 Use…

A: Lateral surface area=pi r l m^2. Where l is slant height of cone.

Q: semicircle. 120° 70° 35° ) T measure of SRT = type of arc:

A: We can use the concept of arc angle in order to solve the given problem .

Q: Find the length (in feet) of the slant height { of a right circular cone with r = 4.4 ft and h = 3.3…

A: We have to find the slant height (l) given that the cone has radius r = 4.4ft and height h = 3.3ft.…

Q: y = x, 0 < x <7

A: The given line  y = (7/5)x This is revolved about x axis  0≤x≤7

Q: In 1 decimal place Find the Surface Area generated by rotating the first quadrant portion of the…

A:

Q: Diameter YZ is parallel to chord WX and mWX=50°. What is mXZ?

A: Circle

Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y = x,…

A: Given that, the cone is generated by revolving the line segment  y = 53x,  0≤x≤4, about x-axis.

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.