13. A right circular cylinder is inscribed inside a sphere with radius r = 3 inches. Find the maximum volume of the right circular cylinder. Volume of cylinder: V= mr'h. y A. 9n in B. 12m in C. 12nv3 in D. 9nV3 in

13. A right circular cylinder is inscribed inside a sphere with radius r = 3 inches. Find the maximum volume of the right circular cylinder. Volume of cylinder: V= mr'h. y A. 9n in B. 12m in C. 12nv3 in D. 9nV3 in

PREALGEBRA

15th Edition

ISBN:9781938168994

Author:OpenStax

Publisher:OpenStax

Chapter9: Math Models And Geometry

Section: Chapter Questions

Problem 488PT: A coffee can is shaped like a cylinder with height 7 inches and radius 5 inches. Find (a) the...

See similar textbooks

Related questions

Q: 2. The length of a rod is 10 cm and the linear density of the rod at a point x centimeters from the…

A: Given that, the length of the rod is 10 cm, the linear density is ρ=2x+3gcm. Obtain the total mass.…

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

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

Q: For an closed cylinder with radius r cm and height h cm, find the dimensions giving the minimum…

A: To find- dimensions of the cylinder.

Q: A cylindrical can of height h and radius r is to be made with a fixed volume V. Show that the area…

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: A manufacturer is making cylindrical cans that hold 200 cm3. The dimensions of the can are not…

Q: Suppose a l-m cylindrical bar has a constant density of 1 g/cm for its left half and a constant…

A: Given, Suppose a 1-m cylindrical bar has a constant density of 1g/cm for its left half and a…

Q: 3. What are the dimensions of the closed cylindrical can that has surface area 280 square…

Q: You are to construct an open rectangular box from 12 ft2 of mate-rial. What dimensions will result…

Q: 5. Suppose we measure the radius of a sphere as 10 cm with an accuracy of ± .5 cm. Use linear…

A: For the solution of the problem follow the next steps.

Q: 2. A right triangle with hypotenuse of 5V3 cm. is revolved about one of its legs to generate a cone.…

A: Given, Let r, h, and V be the radius, height, and volume, respectively

Q: A cylindrical can, open at the top, is to hold 200 cm³ of liquid. Find the height, h, and the…

A: Consider the given: The given volume of the cylinder is 200 cubic cm. V=πr2h200=πr2hh=200πr2 Find…

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

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: 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: The base of a three-dimensional figure is bound by the line x = -y2-2y +3 on the interval [0, 1].…

A: Option(4) is true

Q: 21. The volume of the closed cylindrical tank is 11.3 m3. If the total surface area is a minimum,…

A: The volume, V of a cylinder is calculated using the formula, V=πr2h. The surface area, A of a…

Q: 9) A closed cylindrical can is to hold 1000 cubic centimeters of liquid. How should we choose the…

Q: 4. The volume of an open box with square base is 256 cu. in. Find the dimension if the material used…

A: Lets assume length of base = x in width = x in ( as it is square base ) height of box = y

Q: 1. The volume of the closed cylindrical tank is 11.3 m³. If the total surface area is a minimum,…

A: Surface area and Volume of a cylinder: The amount of space covered by the flat surface of the…

Q: I Sketch the area bounded by x² + 2y = 4 and x+y+2=0 and determine: d) area using horizontal strip…

A: Solution is given below:

Q: An oil storage tank can be described as the volume generated by revolving the area bounded by 4 Y =…

Q: 4. Find the radius of the right circular cone with least volume that can be circumscribed about the…

A: Formula Used: Volume of Cone = 13πR2h where R,h denote the radius and height of right circular…

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: The closed right circular cylindrical can of smallest surface area whose volume is 686r cm³ has a…

A: Topic = Mensuration

Q: A closed top cylinder can is to have a volume of 250in^3 a) What dimensions (radius and height)…

Q: 10. Find the center of mass of a thin rectangular plate cut from the first quadrant by the lines x =…

A: Given density δ(x,y)=3x+yWe need to first mass using formula:M=∬RδdAAccording to the problem, we…

Q: I Sketch the area bounded by x² + 2y = 4 and x+y+2=0 and determine: d) area using horizontal strip…

Q: A cylindrical can is to have a volume of 400 cubic centimeters. Find the dimensions (height and…

Q: A cylindrical can, open at the top, is to hold 800 cm³ of liquid. Find the height, h, and the…

A: As we know that the volume of the cylinder is: v=πr2h Given: v=800cm3 So, 800cm3=πr2hh=800πr2....(1)…

Q: 3. The area on the second and third quadrant of the circle x^2+y^2=36 is revolved about the line…

A: Sketch the region and find limit in y variable.

Q: 4. Find the volume of the solid whose base is the region enclosed between the curve x = 1-y² and the…

Q: 9. Find the demensions of the right circular cylinder of largest volume that can be inscribed in a…

Q: What are the dimensions of a closed rectangular box that has a square cross section, a capacity of…

A: Here we want to find the dimensions of the given rectangular box having volume of 101 in³ it is…

Q: Assume we wish to to make a right cylindrical can with a bottom and no top, and with a capacity of…

A: Solve it

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

A: We will use derivative to minimize the area.

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

Q: Suppose a 4-m cylindrical bar has a constant density of 5 g/cm for its left half and a constant…

Q: Calculate the volume of the rotating object that occurs if the area in the first quadrant is bounded…

A: Calculate the volume of the rotating object that occurs if the area in the first quadrant is bounded…

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

Q: 6. Show that when a hole of radius a is bored through the center of the sphere of radius b, the…

A: Given : The radius of the sphere is b. The radius of the hole is a. We have to show that the volume…

Q: d the volume of losed by y = line

A: Here the function is f(x)=x , y=0 and x=9 is revolved about the line x=9

Q: The area bound by the curve y^2 = 12x and the line x = 3 is revolved about the line x = 3. What is…

Q: A cylindrical diet coke can is being made out of 54π in2 of material. What dimensions maximize the…

A: Given Material used in cylindrical diet coke= 54π in2 Want to maximize the volume of A cylindrical…

Q: 12. Approximate the change in the volume of a right circular cylinder of fixed radius r = 20 cm when…

A: Change in volume

Q: A closed tin can having a volume of 27 in^3 is to be in the form of a right- circular cylinder. If…

A: Volume of the tin is 27in3.The circular top and bottom are cut from square pieces of tin.To Find:…

Question

13. A right circular cylinder is inscribed inside a sphere with
radius r = 3 inches. Find the maximum volume of the right
circular cylinder. Volume of cylinder: V = arh.
A. 9n in
B. 12n in
C. 12ny3 in?
D. 9nV3 in

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Given data,

Step 1

Step 2

Step 3

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Spheres$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

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.
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.
The gasoline tank on an automobile is box-shaped with dimensions of 24 in. by 20 in. by 9 in. If 1 ft3 corresponds to 7.5 gal of gasoline, What is the capacity of the automobiles fuel tank in gallons?
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?
A coffee can is shaped like a cylinder with height 7 inches and radius 5 inches. Find (a) the surface area and (b) the volume of the can. Round to the nearest tenth.
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.
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.
For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and 6 m. The altitude is 7 m. a Find the lateral area of the prism. b Find the total area of the prism. c Find the volume of the prism.
A vessel is in the shape of a right circular cone. This vessel contains liquid to a depth of 12.8 centimeters, as shown. How many liters of liquid must be added in order to fill the vessel? One liter contains 1000 cubic centimeters.
As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in. are cut from the corners of a rectangular piece of poster board that is 20 in. wide by 30 in. long. Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?