Find the height and radius of a cylinder with volume 250pi in^3 and with the smallest total surface area.

Q: Find

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A: Recall:  Lateral are of cone, AL=πrl We have, l=60cm, diameter=30 cm, radius, r=15 cm

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A: Given Data: The radius of the cylinder is: r=6 in The height of the cylinder is: h=11 in The area of…

Q: Find the volume of this cone shaped object. Height = 6 in Radius = 2 in %3D

A: The volume of a cone of height h and base radius r is given by V=13πr2h

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A: Given, The radius of the sphere is 6 inches.

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A: A tumor is approximately spherical in shape. If the radius of the tumor changes from 14 mm to 16 mm,…

Q: you have been asked to design 2000 cm cube can shaped like a right circular cylinder. What…

A: Sol :-          Given volume = 2000cm3                            V=πr2h = 2000…

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Q: Find the dimensions of the right cylinder with largest volume that can be inscribed in a sphere with…

A: We need to find dimensions of cylinder.

Q: Find the height of the cylinder that can be put into a cone with radius 7 cm and height 12 cm and…

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Q: Find the maximum and minimum volumes of a rectangular box whose, surface area is 1300 cm² and whose…

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

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Q: a steel pipe with an outside radius of 12 inches and a length of 2 ft is coated outside with 0.01…

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

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A: Volume is equal to base area multiolied by height.

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Q: 2. A right circular cone has a volume of 134.04 cm³ and an altitude of 8 cm. What is its lateral…

A: "Student asked for only question number 2, so I am solving the question number 2." Given that,…

Q: Find the volume of the largest right circular cylinder that can be inscribed in a sphere with a…

A: The radius of the sphere is 75mm. Let us assume the radius of the cylinder by rc and rs be the…

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Q: Suppose a 5 pint container of a certain fluid weighs 8.8 pounds. Use dimensional analysis to…

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Q: If total surface area of a solid hemisphere is 462 cm2 Find its volume

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Q: The factory designers are currently investigating whether a cone-shaped container can be replaced…

A: let the height of cone is h1  So , A/c the radius of cylinder and cone is same let 'r' and surface…

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Q: Explain how to find the volume of a solid with a known cross section.

A: We have to explain how to find the volume of a solid with a known cross section.

Q: a circular fountain with a 10 m radius line along the center of a circular park with a 200 m radius…

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Q: Approximate graphically the radius and height of a cylindrical container with volume 80cubic inches…

A: Given, Volume, V=80 cubic inchesLateral surface area, A=55 square inches The formula for the volume…

Q: calculate the volume of the water inside a 6in radius hemispherical bowl if the height of the water…

A: The volume of water of height h inside a hemispherical bowl with radius R.

Q: Find the lateral and total surface area of the cylinder. 6 in Lateral area = Total Surface Area

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Q: Consider a rectangular box B that has a bottom and sides but no top and has minimal surface area…

A: Given information: V=64 m3

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Q: If an open box is made from a metal sheet 33 in. by 33 in. square by cutting out identical squares…

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Q: A cylinder has a base radius of 7m and a height of 14m. What is its volume in cubic m, to the…

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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: A cylindrical tank with radius 0.75 meters and height 1.5 meters is to be filled with water. If a If…

A: Given: The radius of the cylindrical tank (r)=0.75 meters The height of the cylindrical tank (h)=…

Q: You have been asked to design a 1L oil can shaped like a right circular cylinder with open top. What…

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

A: Given that: A sphere of radius 10 in.

Q: if the lateral area of right circular cylinder is 88 and its volume is 220, find its radius

A: A= 88 V = 220 A= 2πrh V = πr²h Now we take ration of volume by area  V/A = πr²h/2πrh r = 2V/A  r =…