A frustum of a cone has base radii 2 and 5 and height h=4 h What is the surface area of the frustum (not including the top and bottom bases)?

Q: Find the lateral and total surface area of each pyramid. (Regular Pyramid) Round answer to the…

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Q: A trough is 3 m long, 5 m wide, and 4 m deep. The vertical cross-section of the trough parallel to…

A: Base on the general formula of the work we will calculate the total work required for pumping fluid…

Q: A hemispherical bowl of internal diameter 36 cm contains a liquid. This liquid is to be filled in…

A: The volume of a hemisphere is Vs=23πr3, where r is the radius of the hemisphere. The volume of a…

Q: A manufacturing firm wants to package its product in a cylindrical container 1 ft. high with surface…

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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 base of a right prism is a regular hexagon whose sides are 8 cm in length. The height of the…

A: (a) part It is given that, side of regular hexagon=8 cmheight altitude=13 cm First, find the…

Q: Three circles with radii 3.0, 5.0, and 9.0 cm are externally tangent. What is the area of the…

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Q: 1) Find the lateral surface area of the regular pyramid. 13 f 10 ft Round your answers to the…

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Q: The lateral surface of the right circular cone is cut along an element and the surface is spread out…

A: Given that the lateral surface of the right circular cone is cut along an element and the surface is…

Q: Find the lateral and total surface area of each pyramid. (Regular Pyramid)

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Q: 49.) Find the lateral area of a cylinder with height 4 ft and radius 4 ft.

A: 3D Shape: Cylinder  height, h = 4 ft radius , r= 4 ft

Q: A regular square pyramid has lateral edges 6√5 cm and base edges of length 12 cm. Determine: a. the…

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Q: A storage container is in the shape of an open inverted square based pyramid The length of the side…

A: Given: A storage container is in the shape of an open inverted square-based pyramid. The length of…

Q: A sphere has a diameter of 28 ft. What is its surface area? The surface area of the sphere is ft.…

A: A sphere is the locus of points in 3-dimensional space which are equidistant from a fixed point.…

Q: Two cubes each of volume 27 cm3 are joined end to end to. Form a solid. Find the surface area of the…

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Q: The base of a solid is a quadrant of a circle of radius a. Each cross section perpendicular to one…

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Q: In a frustum of a cone of revolution the radius of the lower base is 11in., the radius of the upper…

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Q: (b) Find the surface area of a hemisphere of radius a.

A: Remark: We know that the surface area of a sphere with radius 'a' unit is = 4πa2 square unit. Also,…

Q: The volume of the lateral surface area nd the total surface area of each regular pyramid

A: The answer is given below:

Q: A grain silo consists of a main part which is a cylinder, topped by a hemispherical roof. Suppose…

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Q: A) Give the area of the shaded region. B) Give the surface area of a cylinder (A tube with a…

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Q: Two solid right circular cones have the same height the radiii of their bases are r, and r, they are…

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Q: A right circular cone is of height 8.4 cm and the radius of its base is 2.1 am It is melted and…

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Q: The radius length of the base of a right circular cylinder is 6 in. The height of the cylinder is 10…

A: a) The formula of the lateral area of the right circular cylinder is, AL=2πrh where r is radius and…

Q: A hole of radius r is bored through the center of a sphere of radius R. Find the volume V of the…

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Q: A sphere of radius a is sliced parallel to the equatorial plane at a distance a−h from the…

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Q: An open tank has the shape of an inverted right circular cone. The tank is 8 feet across at the top…

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Q: A storage bin is shaped as in the figure. The radius of the cylindrical top is 7 ft. The overall…

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Q: A circle with diameter 9 in. is rotated about a diameter. Find the area and volume of the solid…

A: Since, a circle with diameter 9 inch is rotated about a diameter.Our Aim is to find the area and…

Q: Find approximately the difference between the areas of two spheres whose radii are 3 feet and 3.04…

A: Given r1=3 ft. and r2=3.04 feetWe know the area of sphere is 4πr2Diffrence in area=A2-A1…

Q: Use what you know about an icosahedron to derive a formula for its surface area. What is the surface…

A: The area of an equilateral triangle is calculated using the formula: A=34a2, where a is the length…

Q: TIONS. Find the Lateral Surface Area and the Total Surface Area of each Pyramid. Round your answer…

A: Note: As per our guidelines, we are supposed to answer only one question. Kindly repost other…

Q: Find the surface area of the sphere with the given dimension. Leave your answer in terms of T.…

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Q: The slant height of a regular square pyramid measures 15 in. One side of the base measures 18 in.…

A: From given, slant height and one side of base are 15 in and 18 in, respectively. a. Obtain lateral…

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: A lamp shade is in the form of a frustum of a cone with slant height 7 in., radii of base 3 in. and…

A: The curved surface area of the frustum is given by:                   Given: r = 3 in. R = 7 in. l…

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

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Q: A cone with a circular base of radius 6 cm is to be made so that the distance from the apex of the…

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Q: The area R in the plane is limited by the curves given by x = y^2 +2, y = x − 4 and y = 0, as shown…

A: Given Data: Equation 1: x=y2+2 Equation 2: y=x-4   The intersection point of curves of equation (1)…

Q: The radii of the internal and external surface of a metallic spherical shell are 3 cm and 5 cm…

A: First, finding volume of shell and then volume of cylinder

Q: The base of a right prism is a triangle whose sides have lengths of 9 in., 15 in., and 12 in. The…

A: Given that the sides of the bases of a right prism are of lengths 9 in., 15 in. and 12 in. The…

Q: 2,5in. 2 in.

A: Please see the answer in Step 2 .

Q: A hole of radius 6 cm is drilled through the center of a sphere of radius 10 cm. How much of the…

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Q: The radii of the circular ends of a frustum of height 6 cm are 14 cm and 6 cm respectively.Find the…

A: Given that :- h=6 cmR=14 cmr=6 cm find out :- Lateral surface area and Total surface area of…

Q: A right circular cylinder has radius 3 units and volume 72π. What is the height of the cylinder?

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Q: The radii of circular bases of a frustum of a right circular cone are 12 cm and 3 cm and the height…

A: Surface area and volume of frustum

Q: The radii of the internal and external surface of a metallic spherical shell are 3 cm and 5 cm…

A: Consider the handwritten solution.

Q: The radii of circular bases of frustum if a right circular cone are 12 cm and 3 cm and the height is…

A: In the question we have to find  the total surface area and volume of frustum.

Q: A circular sector has a radius of 20in and an angle of 120O . If this sector is cut out of paper and…

A: Radius of circular sector = 20 inches.…