Find the centre of mass of the uniform lamina ABCDE shown below. E бст 30 A 10cm B The shape is symmetrical about the line through C.

Q: Find the total surface area of this cone- Leave your answer in terms of . 4ft 3ft SA = [ ? ]a ft²

A: Total surface area of cone =πrl+πr² r=radius of cone l=slant height of cone.

Q: Use the rectangular prism to complete the table. h W 2 Length 12 Width 6 Height 4 7 2 Lateral Area…

A: A rectangular prism and we have to complete the table.

Q: For the given section as shown, determine the surface area and the volume of the solid that will be…

A:

Q: Find the volume generated by the equation x? + y² – 4x – 6y – 12 = 0 if it is rotated about the line…

A: The volume of the solid generated by resolution can be calculated by calculating the surface area of…

Q: Calculate the moments My and My and the center of mass of a lamina with the given density (p = 3)…

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Q: 9) LA = SA = 8 h- 伍 4 V = 15

A: For the given triangular prism, Lateral surface area is  LA=ah+bh+ch    =h(a+b+c) Total surface area…

Q: (a) Use the disk method to find the volume of the sphere x? + y? + z? = r. (b) Find the volume of…

A: (a).

Q: Calculate the moments M, and My and the center of mass (x, ỹ) of a lamina with the given density and…

A: The moments of the lamina can be calculated using the equation Mx=∬Ryρx,ydA and My=∬Rxρx,ydA. Now,…

Q: ) Find the centroid of the Lamina shown in the figure. 25 | 25 mm mm 25 mm+50 mm 50 mm 50 mm 100 mm…

A: Find the individual centroids first

Q: Determine the larger volume. Assume there is a hemisphere which has a radius of 5cm was cut by a…

A: A sphere of radius 5. V = Volume of hemi-sphereV = ∫02π∫0π2∫05r2sinθdrdθdϕ r : radial distance from…

Q: 10) Find the surface area and volume of a sphere with radius 17 yards. Use 3.14 for T. A) SA=…

A: Givenradius of sphere (r)=17 yards

Q: Find the volume of the solid of revolution that results when a right triangle with legs of lengths 5…

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Q: 33 c m 20 cm hat is the lateral surface area of the cone?

A: What is the lateral surface area of cone?

Q: Find the lateral area (LA), area of the base (B), and total surface area (TA) of the Cylinder. 30 m…

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Q: Calculate the volume of the cone in Figure 22, using spherical coordinates.

A: Given: A cone with radius R and height H.

Q: What is the lateral surface area of the cylinder? 13 m 20 m Show your work/steps using the formula.

A: Lateral surface area of given cylinder is 260 π m^2

Q: Find the moment or center of mass of the wire, as indicated. 10) Find the moment about the x-axis of…

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Q: Find the lateral area (LA), area of the base (B) and total surface area (TA) of the Square Pyramid.…

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Q: Calculate the surface area of the portion of the cone that lies between z=3 and z = 5. 25 25 80 OA.…

A: Equation of cone, x225 + y225 = z29therefore,z = 35x2 + y2          .....(1)

Q: Find the surface area of the solid below (nearest m2): 3.7 m 11 m2 66 m2 51 m2 82 m2

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Q: Find the volume cm^3 of the solid figure in Fig 1182 that was generated by rotating the shaded…

A: Volume of revolution

Q: Consider the paraboloid z = 1- ² – y?. Find the volume of the region between this surface and the ry…

A: According to the problem,. we have

Q: Calculate the sector area of the unshaded region. [39] D 150° A 4 cm C

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Q: Find the Volume, Lateral area, and Su 7= 3 m 3) V. LA = SA = %3D

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: culate the moments M, and M, a 1

A: We have to solve given problem:

Q: 16 7 60

A: Mensuration Question

Q: Find the lateral surface area of each of the prisms below. 1. 5 yd 3 yd 10 yd 4 yd

A: For a given prism, Perimeter p=3+4+5=12 Altitude H=10 (given)

Q: y 600 mm 475 mm 310 mm

A: Here  a=310b=600h=475 Then coordinates of centroid is given by h2 , (b+2a)(a+b)h3

Q: 9. 4. 3 10. 11. 8. 5 5. 5.

A:

Q: Calculate the work in megajoules (1 MJ = 1 × 10° J) required to pump all the water out of a full…

A: Given: To calculate work required by pump from a trapezoidal prism shaped trough with dimensions…

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 total surface area of this cone. Leave your answer in terms of T. 15in 12in SA = [? ]T in?

A: We need to find the total surface area of the cone whose  Radius, r= 12 in  Slant height, l= 15 in…

Q: 10) 11 LA = SA = %3D 3.

A: Given a right cylinder whose radius is 3 and height is 11

Q: Calculate the moments M, and M, and the center of mass of a lamina with the given density and shape.…

A: Here, we will first find moments Mx , My and then we will find the centre of mass of the given…

Q: Determine the coordinates of the centroid of the shaded area. 25 y 70 I 50 25 60 60 50. 175…

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Q: ゴー aab

A:

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

A: We have to check either the volume of parallelepiped is volume=a×bcsinϕ=a×b·c or not.

Q: C a b

A:

Q: Find the volume of the solid bounded by a lune with an area of 36t. The given angle is 25°. C D Q..…

A: To Find: the volume of spherical wedge bounded by lune with an area of 36π, and an angle of 25°.

Q: Find the LATERAL SURFACE AREA of the following prism. Round your answer to the nearest tenth. 8 km…

A: In the given figure it is given that all the sides on the top face are equal, so it's a regular…

Q: For the given section as shown, determine the surface area and the volume of the solid that will be…

A:

Q: Find the surface area of the rectangular prism (above) using its net (below). 3 4)

A: To find the Total surface area of the prism

Q: What is the volume of the following region, described in spherical coordinates? 1<p< 9, 2' 4

A: Given- 1≤ρ≤9, 0≤θ≤90° , π6≤ϕ≤π4. To Find- The volume of the above region which is described in…

Q: Compute the volume of W using cylindrical coordinates.

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Q: Find the total surface area of this cone. Leave your answer in terms of T. 24in |10in SA = [ ? ]7…

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Q: 11) 12 LA = SA = V =

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Q: Refer to the figure and find the volume V generated by rotating the given region about the specified…

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Q: For the given section as shown, determine the surface area and the volume of the solid that will be…

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Q: What is the lateral surface area of a cone with a vertical height of 16 and a base area of 121π?…

A:

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.