Answered: 21. The volume of the closed…

21. The volume of the closed cylindrical tank is 11.3 m3. If the total surface area is a minimum, what is its base radius?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 33E: A solid is formed by cutting a conical section away from a right circular cylinder. If the radius...

See similar textbooks

Related questions

Q: 11. Derive the formula for the total surface area of a right circular cone with radius r and…

A: To find the formula for the total surface area of a right circular cone with radius r and height h.

Q: (1) What is the approximate volume of a thin cylindrical shell with height 2, radius 3, and…

A: Solution ) Volume of the cylinder V = πx2h x = radius Differentiate with respect…

Q: Suppose that r = 12 cm and h = 15 cm in the right circular cylinder. Find the exact and approximate…

A: In right circular cylinder radius(r)=12 cm and height(h)=15 cm (a) For lateral surface area…

Q: 7. Determine the minimum surface area required to enclose 280cm' in a cylinder.

A: 7) Surface Area of cylinder=2πr2+2πrh Volume of cylinder=280 cm3 V=πr2h=280 cm3 πr2h=280…

Q: 14. Find the dimensions of a right cone with surface area S=4 n that has the largest volume?

Q: 6. A bax with a square base is to have an open top. If the lateral surface of the bax is 100 cm",…

Q: 3. What is the volume if a cylindrical tank whose lateral surface area is 15.8 m² and whose base…

Q: The volume of the closed cylindrical tank is 11.3 cubic meter, if the total surface area is a…

A: Given; The volume of the closed cylindrical tank is 11.3 cubic meter.

Q: Find the dimensions of a cylindrical can with a volume of 666 in^3 that minimizes the surface area.…

A: To find the dimensions of a cylindrical can with a volume of 666 in3 that minimizes the surface…

Q: A hollow sphere with an inner radius of 5cm and an outer radius of 6 cm is made of a material with a…

A: Mass of Hollow Sphere = 800.5 gram

Q: 1. Find the exact lateral area, surface area and volume of a right cone with a radius of 9 cm and a…

Q: 2. What formula should be used to minimize the lateral surface area of a cone, where the volume of…

A: I am attaching image so that you understand each and every step.

Q: A cube has an edge of length 30. A rectangular solid has edge of lengths 20, 30 and L. If the cube…

A: Given: A cube has an edge of length 30. A rectangular solid has an edge of lengths 20, 30 and L.…

Q: 4. A manufacturer wants to design an open box having a square base and a surface area of 1200 cm2.…

A: Given: A manufacturer wants to design an open box having a square base and a surface area of 1200…

Q: 3. Determine the dimensions of the right circular cylinder, with the greatest volume, that can be…

Q: A company is constructing an open-top, square-based, rectangular metal tank that will have a volume…

A: Use the formula for calculate the surface area and the volume of the tank: 1). SA = x2 + 4xy 2). V =…

Q: If the dairy uses a rectangle container opti dimensions and the surface area be?

A: Given a dairy sells ice cream in 11.4 L cardboard container.

Q: 7. Determine the dimensions of a rectangular box, open at the top, having a volume of 32 ft³, and…

Q: Given that the altitude is 2/3 of the total altitude of a cone which is 10m and the base of the cone…

A: The volume of the frustum can be obtained using the formula V=13πH(R2+Rr+r2). Here, H is the height…

Q: 2. CALCULATE THE VOLUME OF A RIGHT CIRCULAR CONICAL CONTAINER (IN LITERS) WHOSE HEIGHT IS 4 YARDS…

Q: Consider a right circular cylinder open top tin can with volume 1000 cm. Suppose R and H are the…

A: Consider a right circular cylinder open top tin can with volume 1000 cm³. Suppose R and Hare the…

Q: 4. The exact lateral area of right cone is 4441 inº. If the radius is 12 in, find the exact surface…

A: A cone has lateral surface area 444π in2 and radius 12 in.

Q: A company is constructing an open-top, square-based, rectangular metal tank that will have a volume…

A: Base of the tank is square based so let length = breadth = x let height = y Volume = length ×breadth…

Q: 3. Give formulas for the volume and the surface area of acylinder with radius y and height s.

A: Formulas for the volume and the surface area of a cylinder with radius y and height s.

Q: A company is constructing an open-top, square-based, rectangular metal tank that will have volume of…

Q: Consider a right circular cylinder open top tin can with volume 1000 cm. Suppose R and H are the…

Q: Show that the largest cylinder that could be inscribed in a sphere of radius 4Tr3 r has a volume of…

Q: Prove mathematically that a cylinder with hemispherical ends that has the same volume as a sphere…

A: Let r be the radius of the hemispherical end. Let h be the height of the cylinder. Let r' be the…

Q: The volume of the closed cylindrical tank is 11.3 m 3 . If the total surface area is a minimum, what…

A: Given: Volume of cylindrical tank is 11.3m3.

Q: 10. The minimum surface area for a given volume of a cylinder occurs when: *

A: The volume of the cylinder is V=πr2h therefore, h=Vπr2 the surface area of the cylinder is given by…

Q: A company is constructing an open-top, square-based, rectangular metal tank that will have a volume…

Q: 7. Determine the dimensions of a rectangular box, open at the top, having a volume of 32 ft³, and…

A: Given :Volume = 32 ft3

Q: A box, used to package men's shirts, is in the shape of a square-based prism and its to have a…

A: Given Data: The volume of the square-based prism is: V=8400 cm3 The equation of surface area is:…

Q: 6. A regular pentagonal prism with base perimeter of 20 cm and height of 10 cm is made of wax. If it…

A: Given: Perimeter = 20 cm Height = 10 cm

Q: It is desired to build a "roll-on" system from which a quarter of the diameter of the sphere…

A: Consider a sphere of radius R. The volume of a cap of height h corresponding to the base radius of r…

Q: 7. Determine the dimensions of a rectangular box, open at the top, havin volume of 32 ft3, and…

A: Given that the volume of the rectangular box is 32 ft3.

Q: If a metal cylindrical storage tank has a volume of 3000 ft3 and a radius of 8.00 ft, what is its…

A: Solving by volume and total surface area of cylinder

Q: 7. Determine the minimum surface area required to enclose 280cm in a cylinder:

A: It is given that, Volume of cylinder, V=280 cm3 It is known that, volume of cylinder is, V=πr2h…

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

Q: Exercise 3. A cylinder with open top, closed bottom, radius r and height h has an outer surface area…

A: Given : Surfcae area of the open top cylinder is 8 cm²

Q: If the lateral area of a right circular cylinder is 88 and its volume is 220, find the radius. А. 2…

Q: A company is constructing an open-top, square-based, rectangular metal tank that will have a volume…

Q: 5. Consider a hollow spherical bowl with radius r = 18 cm that is filled to the top with water. h(t)…

Q: 4. A block of lead has dimensions of 4.5 cm by 5.2 cm by 6.0 cm. The block has Calculate the density…

Q: Determine the diameter of a closed cylindrical tank having a volume of 11.3 cu. m to obtain minimum…

Q: The base of a solid is the unit circle x2 + y2 = 1, and its cross sections perpendicular to the…

Question

Please DO NOT PLAGIARIZED your answer or else DISLIKE!

21. The volume of the
closed cylindrical tank is
11.3 m3. If the total surface
area is a minimum, what is
its base radius?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.
Given that a regular polyhedron of n faces is inscribed in a sphere of radius length 6 in., find the maximum largest possible volume for the polyhedron.
The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each side of each regular polygon measuring 4.5 cm, the area of each regular pentagon is 34.9 cm2 and area of each regular hexagon is 52.5 cm2. a What is the surface area of the soccer ball? b If the material used to construct the ball costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?
Compute the number of cubic centimeters of material in the locating saddle shown. Round the answer to the nearest cubic centimeter.
A solid is formed by cutting a conical section away from a right circular cylinder. If the radius measures 6 in. and the altitude measures 8 in., what is the volume of the resulting solid?
For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a lateral area. b total area. c volume.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the base area of a right circular cone that is 15.8 centimeters high and has a volume of 1070 cubic centimeters.
The radius length of the base of a right circular cylinder is 6 in. The height of the cylinder is 10 in. Find the exact a Lateral area b total area c volume.
A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases. With dimensions as shown, what is the storage capacity volume of its interior?
The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch for the lateral surface and 2 cents per square inch for the bases. What is the total cost of constructing the box?
The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of tin required for its construction. HINT: Include the lid and the base in the result.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the volume of a prism with a base area of 220.0 square centimeters and a height of 7.600 centimeters.