A flashlight shaped like a parabloid has its light source at the focus located 1.5 cm from the base and is 10 cm wide at its opening. How deep is the flashlight at its center?

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Q: A satellite dish antenna has a parabolic reflector dish that is 18 feet wide and 4 feet deep.  Where…

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Q: A cone is cut along the shaded plane shown. If the plane in the figure is perpendicular to the base…

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Q: 3. During the heat of the day, the 100-foot bridge expands 1 inch. Now, the ends of the bridge are…

A: 3. Given: During the heat of the day, the 100 ft. bridge expands 1 inch. Now, the ends of the bridge…

Q: The shape of y = V that has been reflected across the origin. Preview

A: To find:

Q: 2. A tunnel with an elliptical cross-section is built over the highway. The length and height of the…

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Q: A spherical sector has a volume of 300 cubic meter. What is the radius of the sphere if its sphrical…

A: area of the spherical sector = area of zone × radius /3

Q: How high is the point P on parabolic arc tunnel of the span of 20ft and height of 16ft, at a…

A: Let the highest point be as the origin and the altitude from O as the x-axis the equation of the…

Q: In a factory, a parabolic mirror to be used in a searchlight was placed on the floor. It measured 50…

A: It is known that the equation of a parabola is given by y2=±4ax when the parabola opens to the left…

Q: A decorative oak post is 36 inches long and is turned on a lathe so that its profile is sinusoidal…

A: Hi!. You have posted multiple subquestions in a single request. Also, due to the complexity of the…

Q: A hemispherical tank of diameter 8 ft. is full of liquid. Find the work done in pumping the liquid…

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Q: An object is 24 centimeters from the center of a silvered spherical glass Christmas tree ornament…

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Q: A flashlight shape like a paraboloid has its light source at the focus located 1.5cm from the base…

A: Sol:     given:  4 flashlight shape like parabolaod                  and its light source of the…

Q: Two transmission towers 40ft high is 200ft apart. If the lowest point        of the cable 10ft…

A: We will draw the diagram and then find equation of cable ,  Note : All freely suspended cable/wire…

Q: A satellite dish in the shape of a paraboloid is 10 ft across, and 4 ft deep at its vertex. How far…

A: Given,           A satellite dish in the shape of a paraboloid is 10 ft across, and 4 ft deep at its…

Q: A cylindrical glass 5 inches in diameter and 8 inches in altitude is filled with iced tea. It is…

A: Given: A cylindrical glass 5 inches in diameter and 8 inches in altitude is filled with iced tea. To…

Q: What is the height of a circular cone having a slant height of v(10x ) and a base diameter of 2x?

A: To find: The height of the circular cone. Given: The slant height of the cone is 10x and base…

Q: A church spire in the form of a regular hexagonal pyramid whose base edge is 8 ft and whose altitude…

A: if in a right angle triangle length of hypotenuse = h length of base = b length of perpendicular = l…

Q: A satillite dish in the shape of parabolic surface has a diameter of 20 feet. If the receiver is to…

A: A parabolic surface is generally used to capture energy, like light, signals etc.  For such…

Q: . Find the radius and central angle in radians of the circular sector of maximum area having a…

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Q: A vertical cross section through the apex of this pyramid would be a | Select A horizontal cross…

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Q: A cuboidal box of dimension 1 m * 2m * 1.5 m is to painted except its bottom . Calculate how much…

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Q: The base of an oblique prism is a trapezoid whose bases measure 5 cm and 8 cm. The height of…

A: The trapezoid based oblique Prism.  JE = 10cm   (center to center distance) 4cm = base height…

Q: A cone is to be constructed from a sector having a diameter of 72 cm and a central angle of 150°.…

A: given  diameter = 72 cm central angle =150°   to find volume in cubic cm of resulting cone hint…

Q: A 3​-ft wide circular track for a camera dolly is set up for a movie scene. The two rails of the…

A: Circles

Q: Will a truck that is 14 feet wide carrying a load that reaches 10 feet above the ground clear the…

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Q: A flashlight shaped like a parabloid has its light source at the focus located 1.5 cm from he base…

A: First let's see what this paraboloid looks like in 2 dimensions. Light source at the focus located…

Q: An engineer wants to construct an elliptical driveway with a major axis of 60 km and a minor axis of…

A: Ellipse

Q: A whispering gallery has semmielliptical ceiling that is 9m and 30m.How high is the ceiling above…

A: A whispering gallery has semielliptical ceiling that is 9m high and 30m long. Since the height is…

Q: A cylindrical glass 8 inches in altitude and 5 inches in diameter is filled with ice tea. It is then…

A: Volume of the cylinder is V=πr2h where, r is the radius and h is the height of the cylinder.

Q: A horizontal trough is 16m and its ends are isosceles trapezoids with an altitude of 4m, a lower…

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Q: A plane contains the axis of a right circular cone with a height of 30 feet and a base area of…

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Q: A cone is cut along the shaded plane shown.  If the plane in the figure is perpendicular to the base…

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Q: A cylindrical glass 5 inches in diameter and 8 inches in altitude is filled with iced tea. It is…

A:

Q: Will a truck that is 16 feet wide carrying a load that reaches 11 feet above the ground clear the…

A: Here we have to uae the concept of conic section.

Q: A standard tennis ball has a diameter of 2.625 inches. The watson tennis ball corporation wants its…

A: Diameter, D  = 2.625 inchesRadius = R = D / 2 = 2.625 / 2 = 1.3125 inchesLength of the label =…

Q: Find the area of the sector of a circle with radius 13 meters formed by a central angle of 180":…

A: To determine: The area of the sector of a circle with radius 13 meters formed by a central angle of…

Q: An arch is in the form of a semiellipse is 52 feet wide at the base and has a height of 20 feet. How…

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Q: An amusement park has discovered that the brace that provides stability to the ferris wheel has been…

A: 1) Area of sector =θ360°×π×r2      Where θ°  is the angle suspended by arc or angle of sector      r…

Q: A parabolic shaped radio transmitter has a diameter of 21 inches. If the signal-emitter (focus) is…

A: Given  Diameter of parabolic shaped radio transmitter = 21 inch  focus = 18 inch

Q: A solar water heater is made from a long sheet of metal bent so that the cross sections are…

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Q: Find the lateral area of a right circular cone that has a radius of 15 ft, and a slant height of 25…

A: It is known that the lateral area of the right circular cone is defined as Lateral…

Q: A ferris wheel is elevated 1 m above ground. When a car reaches the highest point on the ferris…

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Q: A railroad rail is I kilometer long and it expands on a hot day 10 centimeters in length.…

A: To find the height of the centre of the rail rise above the ground.

Q: A cylindrical glass 5 inches in diameter and 8 inches in altitude is filled with iced tea. It is…

A: The volume of the ice tea drained can be represented in terms of the total volume of the ice tea…

Q: A 10cm diameter disk emits light uniformly from its surface. 20 cm from this disk, along its axis,…

A: Here we will find the diameter of shadow,