Answered: The volume of the closed cylindrical…

Math

Advanced Math

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

Section9.2: Pyramids, Area, And Volume

Problem 10E

See similar textbooks

Related questions

Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must,by…

A: Consider the given statement. Let x be the border of the pool. Draw a rough diagram for the given…

Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

A: It is given that, The radius of container A=12 feet The height of container A=20 feet and, The…

Q: A paint manufacturer desires a cylindrical steel drum to hold 50gal. of roof paint. For convenience…

A: Given: Volume of drum=50 gal……1Diameter of drum=212 ft……2Height of drum=h say……3

Q: A factory packages coconut water in cone-shaped containers with a base radius of 5.2 cm and a height…

A: Given radius = 5.2cm Height = 13cm Total surface area of cone shaped container and cylindrical…

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: Suppose an open box with a rectangular base is to be constructed from a rectangular piece of…

A: GivenRectangular piece of cardboard width (b)=18 inchesRectangular piece of cardboard length (l)=20…

Q: 6. Give formulas for the volume and the surface area of acone whose height h is three times its…

A: Given: The height of cone is three times it's radius. Formula Used: Vol of cone=13πr2hSurface…

Q: 15. If 1200 cm² of material is available to make a box with a base and an open top, find the largest…

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: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

A: We have been given the 2 cylinders. First, we have been given cylinder A with a radius of 9 feet and…

Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

A: We find volume of both containers then find percentage

Q: A rectangular prism has a length of 19m, a height of 16m, and a width of 5m. What is its volume, in…

A: We have given a rectangular prism with length, l = 19 m width, w = 5 m height, h = 16 m So volume of…

Q: 7. If 300 cm³ of material is available to make a box with a square base and an open top, find the…

A: Assume side of the square box is x and height is y. Hence, volume of the box is given by…

Q: The monument of Cestius in Rome, which is a square pyramid 121.5 ft. high with a base edge measuring…

A: given base=b=98.4 and heighy=h=121.5

Q: Is data collected on income level (low, medium or high) classified as nominal or ordinal

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: A vessel, used to contain liquid mercury (specific gravity = 13.6), is shaped like an inverted…

A: Square pyramid problem....

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: What is the edge of a cube whose volume is equal to that of a rectangular bar measuring 100 cm long,…

Q: A sphere is designed to have a volume of 500 cm3, to the nearest 10 cm3. Find the boundaries…

A: Volume of sphere=43πr3If V is to be rounded off to 500, to the nearest 10,then, minimum value of V =…

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: If a cube has a surface area of 216 cm2, what is its volume?

Q: What would happen to the volume of the cone if the radius of its base is tripled and the height is…

Q: (8) If 1200 cm? of the material is available to make a box with a square base and an open top, find…

A: The volume of the box V=a2h

Q: 2) Find the radius of a cylinder with a volume of 339.1 in' and a height of 12 in.

A: Volume of cylinder is πr2h. Use this formula to find the value of radius of cylinder.

Q: 4. A milldam of earth, with plane sloping sides of rectangular bases, 10 m. by 5 m. at the top and…

A: Area of top = b = 10 * 5 = 50 m2 Area of bottom = B = 20 * 10 = 200 m2 Height of…

Q: .If the lateral area of a right circular cylinder is 90 cm2 and its volume is 225 cm3, find its…

A: Given that: Lateral area of a right circular cylinder, A=90 cm2Volume of cylinder, V=225 cm3

Q: If a cone has a radius of 5 and a height of 12. What is it’s volume ?

A: Given radius of cone(r)=5Height of cone (h)=12We know that volume of cone is πr2h3

Q: 2. Find the density of a 40 gram pyramid with rectangular base 5 cm x 6 cm and height 8 cm. 2.0g O…

A: The volume of the pyramid is given as where l is the length , w is the width and h is the height .

Q: Two square pyramids are similar. If the ratio of a pair of corresponding edges is a : b, what is the…

Q: 1. The volume of a right prism is 234 cu.m. with an altitude of 15 m. If the base of the prism is an…

Q: A grain silo consists of a cylindrical main section and a hemispherical roof. If the total volume of…

Q: When the radius of a sphere is doubled, the volume of the new sphere is as large as the volume of…

A: The new radius is 2r now, So, the new volume will be: V=43π(2r)3=43π(8r3)=843πr3=8(old volume)

Q: The base diameters of a frustum of a cone measure 2.4 m and 1.8 m and are 3 m apart. Determine its…

A: The Curved Surface Area (CSA) of the frustum of a cone is: = pi * l(R + r) where the (r) stands for…

Q: Given that a right cireular cylinder is inscribed within a sphere, what is the least possible volume…

A: Given: A right circular cylinder is inscribed within a sphere with the radius r as given in the…

Q: 1. Derive the formula for the total surface area of a right circular cone with radius r and altitude…

A: The right circular cone can be drawn as,

Q: 15. The Frank Erwin Center, or "The Drum,"at the University of Texas in Austin can be approximated…

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

Q: 19.) What is the surface area of a rectangular prism with length of 20.1 m, a width of 6.8 m, and a…

A: Length, l = 20.1 m breadth, b = 6.8 m height, h = 7.4 m Surface area of rectangular prism, A = 2(l*b…

Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: Let us take x=the width of the tile border. By the agreement, the pool must contain a rectangular…

Q: A square base prism and a cylinder both have the same height of 4 cm in the same base area if the…

Q: b) Suppose a die size is 3.5cm? and feature size is 64pm, Calculate the No. of Components on10"…

A: Here Die size=3.5 cm2feature size=64pm

Q: What is the best approximation of the volume, in cubic units, of a pyramid of height 4 and a square…

Q: 3. Find the radius, height and EXACT volume of the right cylinder formed by the net (flat pattern)…

Q: Two similar cones have volumes 12π and 96π. If the lateral area of the smaller cone is 15π, what is…

A: since the cones are similar so l1l2 = r1r2 the the volumes are v1=12π unit3 , v2=96π unit3 so curved…

Q: A regular square pyramid has lateral area of 60m^2 and base edge of 6m. What is its volume?

A: Given that, A regular square pyramid has lateral area of 60 m2 and base edge of 6 m. We have to find…

Q: Suppose the area of the base of a pyramid is 112 ft2 and its lateral surface area is 198 ft2. What…

A: Given, Area of the base of the pyramid = 112 square feet Lateral surface area of the pyramid = 198…

Q: 9. If the exact volume of a right circular cylinder is 200T cm³ and its altitude measures 8 cm, what…

Question

1. 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

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?
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.
Compute the number of cubic centimeters of material in the locating saddle shown. Round the answer to the nearest cubic centimeter.
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 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?
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 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.
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.