Find the surface area of the closed circular cylinder of greatest volume that can be inscribed in a cone of base radius 3 cm and volume 30m cm if the base of the cylinder lies in the base of the cone.

Q: A right circular cylinder is inscribed in a sphere of radius 6 inches. Find the largest possible…

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Q: Find the volume of a right circular cone with height 18 and base radius 9 using integration. (Disk…

A: Solution:- by using disk washer formula

Q: Find the volume generated by revolving the region bounded by y=−x^4+3x^3, y=0  revolving about the x…

A: The given problem is to find the volume generated by revolving the region bounded by given curves…

Q: A silo consists of a right circular cylinder surmounted by a right circular cone cover. What is…

A: When we place right circular cone on top of a cylinder, the curved surface area of the combined…

Q: Find the volume of the solid with a circular base of radius 5 whose cross sections perpendicular to…

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Q: A right circular cone has a slant height of 12 ft and a lateral area of 967 ft'. Find its volume.

A: Given slant height and lateral area of cone are 12 ft and 96πft2, respectively. Obtain radius of the…

Q: Find the volume of the solid whose base is given by 9. whose cross-sections perpendicular to the…

A: We will first find the area of cross section. Then integration of Area will be required volume of…

Q: right circular cone of radius 3 cm has a curved surface area of 47.1 cm2 .Find the volume of the…

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Q: Find the volume of a cone generated by revolving about the y-axis the area bounded by the line…

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Q: A right-circular cone is to be circumscribed about a sphere of given radius. Find the ratio of the…

A: Let R be the radius of the cone, l its slant height and h be the height. V= 13πR2h We have to make…

Q: Find the volume of a right circular cone that has a height of 3.2 m and a base with a radius of 14.1…

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Q: What is the area of the curved surface of a right circular cone of radius 3 and height 4?

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Q: Determine the height of the right circular cylinder of greatest volume that can be inscribed inside…

A: It is given that,  Radius of cone is, R=4 in Height of cone is, H=12 in   Let semi vertical angle is…

Q: A hemispherical bowl of radius 5 cm is filled with water to within 3 cm of the top. Find the volume…

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Q: Find the total surface area of a frustum of a cone having radius of the upper base of 2 cm, radius…

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Q: Evaluate the volume of the surface of the shaped recreated by revolving the line y = 1/x as x goes…

A: Solution is written in below steps.

Q: Find the volume of the solid whose base is a circle with radius 12 that has cross-sections…

A: Recall that the volume of a solid, if the cross-section is perpendicularto the x axis, and its area…

Q: 6. Find the radius of a right circular cone having a lateral area of 544.12 m2 to have a maximum…

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Q: A cone is formed from a circular piece of material of radius 1 meter by removing a section of angle…

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Q: Find the volume of the solid cut from the first octant by the surfacez = 4 - x2 - y.

A: Consider the given surface  z=4-x2-y The domain is restricted by the first quadrant x≥0,  y≥0 The…

Q: Find the volume of the largest right circular cone that can be inserted in a sphere of radius 3.

A: The volume of the cone is given by  , where is the radius of the circular base of the cone and h is…

Q: Determine the dimensions of the right circular cylinder of greatest volume that can be inscribed…

A: We have to find the dimensions of the right circular cylinder of greatest volume that can be…

Q: Find the dimensions of the right circular cone of the greatest lateral area that can be inscribed in…

A: Here we find the dimensions of cone.

Q: y = 9x² and y = 0 about x = −4

A: Given:        y=9-x2 and y=0         x2=9           x=3 about x=-4

Q: A round hole of radius sqrt(3) ft is bored through the center of a solid sphere of a radius 2 ft.…

A: A round hole of radius sqrt(3) ft is bored through the center of solid sphere of a radius 2 ft.

Q: Determine the dimensions of the right-circular cylinder of greatest volume that can be inscribed in…

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Q: Find the volume of the solid whose base is in the first and second quadrant(s) bounded by y = 32 –…

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Q: Find the lateral area of a right circular cone that cone that can be inscribed in a cube whose…

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Q: Find the volume of right circular cone with radius 6 cm and height 7 cm

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Q: Find the volume of a right circular cone that has a height of 3.2 m and a base with a radius of 14.1…

A: We have to find volume right circular cone that has a height of 3.2 m and a base with a radius of…

Q: If a right circular cone has a circular base with a diameter of length 10 cm and a volume of 100…

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Q: Find the radius and height of the right circular cylinder of largest volume that can be inscribed in…

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Q: A right circular cone has a slant height of 12 ft and a lateral area of 96™ ft². Find its volume.

A: Let r be the length of radius of base, h be the altitude of the circular coneand l be the length of…

Q: The area on the first quadrant of the circle x^2 + y^2 = 36 is revolved about the line y + 10 = 0.…

A: To find: The volume generated by the area on the first quadrant of the circle x2+y2=36 is revolved…

Q: Find the volume of the object formed by rotating the area between the square with a side length of 2…

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Q: Find the height of a right circular cylinder of maximum volume, which can be inscribe in a sphere od…

A: Topic:- geometry

Q: Find the dimensions of a right cone with surface area S=4 n that has the largest volume?

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

Q: A solid lies between two parallel planes 5 feet apart and has a volume of 45 cubic feet. What is the…

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Q: Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 3.

A: Cone: The volume of right circular cone V=13πr2h Where r is the radius of the circular base of the…

Q: Find the volume of the largest right circular cone that can be incribed in a sphere of radius 3. 3 y…

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Q: What is the total surface area of a right circular cone of height 14 cm and base radius 2 cm?

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Q: The axes of two circular cylinders of radius a intersect at right angles. Show that the volume…

A: 8∫0ady∫0a2-y2dx∫0a2-y2dz = 8∫0ady∫0a2-y2dx (a2-y2)8∫0ady∫0a2-y2dx∫0a2-y2dz  =8∫0ady…

Q: Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 2.

A: Volume of the cone is given by 13πr2h, here r is the radius of cone (and not the sphere), h is…

Q: A right circular cylinder is inscribed in a sphere of radius 3 inches. Find the largest possible…

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Q: A cheese ball with a spherical appearance has a volume 7238.229 cubic centimeter is to be cut into 4…

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Q: Find the volume obtained when the circle of radius 1 withcenter (1, 0) is rotated about the y-axis.

A: We have to find volume obtained when the circle of radius 1 with center (1,0) is rotated about the…

Q: Find the mass of a straight circular rod of length a and radius b whose density varies as the square…

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Q: A hemispherical shaped tank has a radius of 10 ft. If the tank is completely full, find the work…

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Q: Find the volume of the solid formed by invoving the region by the graphs y=x^3 , x = 1 , about x = 2

A: We first sketch the region using a graphing calculator.

Q: find the source caused by water pressure on one of the ends of the trough with the semicircular…

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