Find the dimensions of the isosceles triangle of largest area that can be inscribed in a circle of radius r.3base = /2r, height==r2base = V3r, height=2r3base = V3r, height==r2O base =V2r, height=2r

Answered: Image /qna-images/answer/4e0fe3d1-bf2a-46f5-85d0-534ba493b8cf.jpg

Find the dimensions of the isosceles triangle of largest area that can be inscribed in a circle of radius r. 3 base = V2r, height==r 2 base = V3r, height=2r 3 base = V3r, height==r 2 O base = V2r, height=2r

Find the dimensions of the isosceles triangle of largest area that can be inscribed in a circle of radius r. 3 base = V2r, height==r 2 base = V3r, height=2r 3 base = V3r, height==r 2 O base = V2r, height=2r

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 7E: The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of...

See similar textbooks

Related questions

Q: Find the between the porabolas area 2. X+2 メ+ 2.

Q: A circle is having an area of 452 sq. m. is cut into two segments by a chord which is 6m from the…

Q: A right triangle has a base of 24 cm and a height of 16 cm. What is the approximate perimter of the…

A: Given that a right triangle has a base of 24 cm and a height of 16 cm.Our Aim is to find the…

Q: a rectangle eith sides measuring x in. and 4x-1 in has an area of 663in^2. what are the dimensions…

A: We are given a rectangle with the sides being x in and 4x-1 in. Also the area of the rectangle is…

Q: 1. Show that the volume ofa parallelepiped with sides A. B and C given by A (B x C)

A: As per our guidelines we are supposed to solve only one question i.e. the question no 1. For the…

Q: A sphere with a radius of 3 in. is repeatedly filled with water and emptied into a cone with a…

A: We need to find how many times how many times sphere emptied into the cone.

Q: A ball of radius 1 is contained in a right circular cone. Find the snallest possible surtace area of…

A: Given : A right circular cone with :radius=r , and height=hA ball of radius=1 kept inside the…

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: A hemispherical tank having a radius of 2.5 m is filled with water to a depth of 1.8 m. If a solid…

Q: Find the area of the largest isosceles triangle that can be inscribed in a circle of radius r=14

A: We will find required as shown below

Q: Find the dimensions of the rectangular box with largest volume if the total surface area is given as…

A: To find the dimensions of rectangular box x,y,z Whose volume is maximum and total surface area is 64…

Q: A big circle is inscribed in a square. A small circle is tangent to the big circle and to two sides…

A: To find the exact area of the small circle from the given picture

Q: Each side of square RSTV has length 8. Point W lies on VR and point Y lies on TS in such a way to…

A: Area of the square RSTV is, Area of square RSTV=Area of triangle RSW+Area of Parallelogram VWSY+Area…

Q: A metal sphere weighing 24 kg is melted down and recast into a solid cone of base radius 8.0 cm. If…

A: Given that , Mass of metal , m=24 kgDensity of metal , ρ= 8000 Kgm3Radius of Cone , r=8 cm…

Q: Find the dimensions of the rectangular box with largest volume if the total surface area is given as…

Q: Find the smallest possible area of an isosceles triangle thatis circumscribed about a circle of…

A: To Find: The Smallest Possible area of an isosceles triangle that is circumscribed about a circle of…

Q: J (1,4) M(-1, 2) К(3,2) L (1, – 3)

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: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch…

A: Given- Material that cost for lateral surface area is 1 cent per square inch and for base it is 2…

Q: Find the radius of a circle whose area equals the sum of the areas of two circles with radii 3 in.…

A: First we find the area of the circle with radius = 3 in Then we find the area of the circle with…

Q: A window consists of a rectangle surmounted by a semicircle. If the perimeter of the window is 32…

A: Given is the window consists of a rectangle surmounted by a semicircle of perimeter 32ft. Consider…

Q: of the qurdrilatuol with vutics (-1,4);(2,5), (o,0) and (4r1) 1. Fmd the area

Q: 3. Find the dimension of the largest rectangle (in terms of area) that can be inscribed in a circle…

Q: Which is greater, the surface area of a cone of height 10 and radius 20 or the surface area of a…

A: The dimensions of first cube: Height is h1=10 units Radius is r1=20 units The dimensions of second…

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

A: Solution )

Q: Find the radius of a circle whose area equals the sum of the areas of two circles with radii 3 in.…

Q: Determine the lateral surface area of a truncated circular cylinder whose longest and shortest…

Q: The length of arc AB of a circle with center at O is equal to twice the length of the radius r of…

A: Let's first sketch the figure for this question:…

Q: Determine the dimensions of the rectangle of largest area that can be inscribed in a semicircle of…

A: Given, The dimension of the rectangle of the largest area can be inscribed in a semicircle of radius…

Q: Find the largest valume of a cylinder that first into cone has base radium R and height h

Q: Find the area of the trapezoid in which the sum of its two bases is 0.14m and its altitude is 0.07m.

A: Using area of trapezoid formula.

Q: A can of soda is 4.8 inches tall and 2.5 inches in diameter. Let's assume the can of soda is a…

A: We need to find the dimensions of the rectangle.

Q: Find the dimensions of the rectangular box with largest volume if the total surface area is given as…

A: Let, length of the box, x width of box, y height of box, z It is given that, total surface area of…

Q: 3. Find the area of the rhombus. dl (2x +2) cm d2 (6x + 8) cm

A: As we know that the area for a rhombus when the p and q are the diagonal is:- A=pq2

Q: If y = 5 in. and z = 31.9 in., then the TOTAL SURFACE AREA of the cylinder is round to nearest…

A: we have to find the total surface area of the cylinder

Q: Of all rectangles with area 400 in2, what are the dimensions of the one with the minimum perimeter?…

Q: The legs of a right triangle measure 12 cm and 16 cm. Find out which cone has the greater total…

A: Given:- The legs of a right triangle measure 12 cm and 16 cm. To Find :- which cone has the greater…

Q: The dimensions of cylinder B are - the dimensions of cylinder A. r A B h --- If the surface area of…

A: Surface area of right cylinder is : S = 2 π r h + π r2 Here r is the radius of cylinder and h is…

Q: Calculate the total area of a right prism knowing that its bases are rhombuses with diagonals D=26cm…

Q: A cylindrical tin can is to be manufactured that will hold a certain volume V. If materials for the…

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

Q: . A cylinder (not shown) has radius 2.5 cm and lateral area 20n square centimeters. What is the…

Q: If x = 15.5 cm. and z = 23.8 cm., then the LATERAL AREA of the square based pyramid is _____cm2.…

A: The answer is found in step-2

Q: In a beehive, each cell is a regular hexagonal prism, open at one end with a trihedral angle at the…

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

Q: Determine, using the method of composite areas, the second moments of area of part 3 about the…

Q: 2. A trapezoid 6 m in altitude have bases of 12 m and 18 m respectively. If it is divided into two…

Q: Find volume of square revolved around y-axis given following points: (4,5), (4,1), (6,3), (2,3)

A: We need to find the volume of the solid formed when the above square revolves around the y-axis.…

Q: The quadrilaterals ABCD and PORS are similar. Find the length x of QR.

Q: If y = 7 in. and z = 39.8 in., then the TOTAL SURFACE AREA of the cylinder is round to nearest…

A: Total surface Area of cylinder = 2πrh+2πr2

Q: An article will be written on a 24 cm2 part of a paper. There will be space 1.5 cm from the bottom…

A: Solution: Let y be the length and x be the width of the paper. Then, the area is 24 cm square, that…

Question

Find the dimensions of the isosceles triangle of largest area that can be inscribed in a circle of radius r.
3
base = /2r, height==r
2
base = V3r, height=2r
3
base = V3r, height==r
2
O base =
V2r, height=2r

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

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

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?
Find inside caliper dimension x. All dimensions are in inches.
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 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.
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.
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.
A cylindrical orange juice container has metal bases of radius length 1 in. and a cardboard lateral surface 3 in. high. If the cost of the metal used is 0.5 per square inch and the cost of the cardboard is 0.2 cent per square inch, what is the approximate cost of constructing one container? Use 3.14.
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 rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of a diagonal AB from the upper left rear vertex to the lower right front vertex. Round the answer to 1 decimal place.
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.