37. Nature uses spheres, such as oranges and grapefruits, to "package" juices. How does the surface area of a spheri- cal container compare to that of a cylindrical container of the same volume (see Exercise 36)?

37. Nature uses spheres, such as oranges and grapefruits, to "package" juices. How does the surface area of a spheri- cal container compare to that of a cylindrical container of the same volume (see Exercise 36)?

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

Section9.4: Polyhedrons And Spheres

Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...

See similar textbooks

Related questions

Q: 8. Find the lateral surface area of the polygonal pyramid O 90 O 95.5 O 24.75 O46.78 yd 2.75 yd

Q: Use the shells method to calculate the volume of a sphere of radius ?. Let the y axis be the axis of…

A: We have to find the volume of the sphere of radius r using shells method.

Q: 3.) What solid has the least volume? a. a cube with edge 8 cm b. a cylinder with height 8 cm and…

A: Let the radius = r height = h and edge = e. Kindly check the image attached…

Q: fit the largest possible cone inside a sphere, what fraction of the volume of occupied by the cone?…

A: In this question we have to find the fraction of the volume of the sphere is occupied by the cone.

Q: 1. Which has a bigger volume, a sphere with radius 2 meters or a pyramid with base 2.5 meters and…

A: Hello, thank you for the question. We’ll answer the first question since the exact one wasn’t…

Q: 4, find the A spherical propane gas storage tank has a volume of ft'. Using 7 = radius of the…

A: Given : A spherical propane gas storage tank has a volume of 7927 (ft)3 We have to find the radius…

Q: 20. What is the volume of the triangle below if rotated half-way around the y-axis? A 5 C…

A: Volume of cone

Q: 1. Find the volume of a sphere.

A: We can find the volume of sphere by the definition of sphere as below.

Q: The corners of a cubical block touched the closed spherical shell that encloses it. The volume of…

A: Volume of sphere is 4/3πr3

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

Q: what is the surface area of concentric spheres?

A: Let's find.

Q: 4. Find the volume of the sphere below. 6 km

A: topic - volume of a sphere

Q: A truncated hexagonal right prism has an average lateral edge of 24 cm. What is the volume of the…

A: Given, A truncated hexagonal right prism has an average lateral edge of 24 cm. We have to find a the…

Q: Two similar pyramids have lateral areas 8 ft 2 and 18 ft 2 If the volume of the smaller pyramid is…

A: If we let "s" be the length of a side in the smaller pyramid and "S" be a length of a corresponding…

Q: The volume of the sphere with the radius 5 is cubic units O 125 125 3 O 500 3 O 250 250 3 O 750 3

A: Volume of sphere

Q: 37. Find the surface area of the right trapezoidal prism (whose dimensions are measured in units)…

A: To find: Surface area of the given trapezoidal prism. Given:BC = FG = 9 unitsCD =GH = 5 unitsCG = DH…

Q: Find the approximate volume of a sphere with radius length r = 2.7 cm.

A: Given: The radius of a sphere is, r=2.7 cm. The volume of a sphere can be calculated as, V=43πr3…

Q: 4. Find the SURFACE AREA of this delicous can of soup. 2 im VEGETABLE CLASSICS DESSO

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

Q: When would one use method of washers rather than the method of disks to find volume of solids?

A: When would one use method of washer rather than disks method:

Q: Find the dimensions of a box with largest volume whose surface area is 100 cm?. Lagrange multipliers

Q: What is the surface area of a rectangular solid (also called a right rectangular prism) whose height…

A: Here we have a rectangular solid. Rectangular solid is also known as Right rectangular prism. We…

Q: 3.A circular, 8-slice pizza is placed in a square box that has dimensions four inches larger than…

A: Let us assume that the pizza has a diameter of x inches Since the side of the square shaped pizza…

Q: explain the cavalieri- archimedes handout, how archimedes calculated the surface area of a sphere of…

A: consider the equation

Q: 22. What is the volume of a spherical segment with a height to diameter ratio of 0.2?

A: Volume of the sperical segment is given by

Q: late the volume of a water cylinder with a total height of 10 meters and whose diameter is 400…

A: Given: Height of the water cylinder h = 10 m Diameter of the cylinder d= 400 cm =4 m radius of…

Q: A playground has a tunnel in the shape of a triangular prism. What is the volume of the tunnel?

A: The formula of triangular prism is 12x base x height x length of tunnel =12 x 3 x 4 x 11=66

Q: 8 in Find the volume of the sphere.

Q: 2. The volume of a sphere is 904.78 m. Find the volume of the spherical segment with one base and of…

A: We will use formula to solve this.

Q: Which has a bigger volume, a sphere with radius 2 meters or a pyramid with base 2.5 meters and…

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

Q: 4 Find the surface area of the square pyramid (above) using its net (below). 4

Q: 1. What is the hypotenuse? 10 2. What is the area of the base? 24 3. What is the perimeter of the…

Q: 5. Determine the volume and surface area of the following three-dimensional object. (7 marks) 5 cm…

A: Volume of half-cylinder = (1/2) × πr2h Total surface area of half-cylinder = (1/2) × curved…

Q: 19. Find the surface area of a sphere with volume of 288π m. Give your answer in terms of π

A: Volume of a sphere, V = 4/3(πr3) Surface Area of Sphere, A = 4πr2

Q: 9. What is the volume of the cone with radius 5 m and height 6 m? Express the answer in terms of r.…

A: We have to find the volume of the c

Q: 33. A sphere has a volume equal to in'. Determine the length of the radius of the sphere. (Use -

A: Given, Volume of sphere = 99/7 in.3

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

Q: A sphere with surface area 144π cm 2 has volume____?

A: Surface area of sphere is 144π cm2.

Q: 1. Match the description of each sphere to its correct volume. A. Sphere A: radius of 4 cm 1. 288…

A: Authoring guidelines:…

Q: A powdered drink mix container is in the shape of a right circular cylinder. The dimensions of the…

A: The container is in the form of a cylinder Here diameter is 6 in , Radius is diameter divide by 2…

Q: 7. What is the volume of the sphere given below? 24

Q: A wooden block is in the shape of a square pyramid. The square base is 5 cm by 5 cm, and the pyramid…

A: Total surface area

Q: mulov 1. Find the volume, the lateral surface area, and the total surface area of the following…

Q: 8.7 15 10 14. What is the Surface Area of this EQUILATERAL TRIANGULAR based prism? What is the…

A: Given problem:-

Q: A sphere has radius 2 and a hemisphere ("half" a sphere) has radius 4. Compare their volumes.

A: Volume of sphere=43πr3Volume of hemisphere=23πr3

Q: 21. What is the exact volume of a sphere whose diameter is 14 cm? Show your work.

A: We will solve the following.

Q: 9. A cone has a circular base with a diameter of 18 inches and has a height of 12 inches. To the…

A: The lateral area of cone is given by AL=πrh2+r2.

Q: What is the fomula for the volume of a sphere?

A: A sphere is a set of points in space that are a given distance r from the center.

Q: What is the volume ratio between the spheres shown?

A: given,

Q: 2. Find the lateral surface area of the square pyramid * 2.8 in O 38.64 O 61.6 O 30.8 40 5.5 in

A: The slant height of the Pyramid is given as L = 5.5 inches Side length of base of pyramid a = 2.8…

Q: What is the volume of a sphere whose radius is 12.0?

Question

Transcribed Image Text:37. Nature uses spheres, such as oranges and grapefruits, to "package" juices. How does the surface area of a spheri- cal container compare to that of a cylindrical container of the same volume (see Exercise 36)?

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

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?
For the right triangular prism found in Exercise 16, suppose that the sides of the triangular base measures 3 ft, 4 ft, and 5 ft. The altitude is 6 ft in length. a Find the lateral area of the prism. b Find the total area of the prism. c Find the volume area of the prism.
Find the volume and the surface area of a closed box that has dimensions of 9 in., 10 in., and 1 ft.
The base of a right prism is a regular hexagon whose sides are 8cm in length. The height of the prism is 13 cm. Find the a Lateral area b total area c volume.
Cycling The Campagnolo Hyperon Ultra Two carbon wheel, which has a diameter of 700 millimeters, has 22 spokes evenly distributed around the rim of the wheel. What is the length of the rim subtended by adjacent pairs of spokes (Figure 15)?