A triangular corner is cut from a square 1 ft on a side. The area of the triangle removed is 36 in^2 . If the centroid of the remaining region is 7 in. from one side of the original square, how far is it from the remaining sides?

A triangular corner is cut from a square 1 ft on a side. The area of the triangle removed is 36 in^2 . If the centroid of the remaining region is 7 in. from one side of the original square, how far is it from the remaining sides?

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 25E

See similar textbooks

Related questions

Q: A big cube is made of 216 smaller cubes of length 1 cm. If the centre cube on each face and all…

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

A: Given, A sphere of radius 15 cm We have to find the height of the right circular cylinder of…

Q: A cylinder is inscribed in a right circular cone of height 5 and radius (at the base) equal to 2 .…

Q: a right clinder is cut parallel to its base. what is the shape of the two dimensionals cross…

A: It is given in the question that the right circular cylinder is cut parallel to its base.

Q: 3. Find the volume of the largest right-circular cylinder that can be inscribed in a right-circular…

A: As per bartleby guidelines, for more than one questions, first one needs to be solved. The diagram…

Q: Find the radius of the largest right circular cylinder inscribed in a sphere of radius 5.

A: Given: Let the right circular cylinder have radius r and height 2h

Q: Find the height of the largest right circular cylinder that can be inscribed in a sphere of radius 8…

Q: Find the dimensions of a cylindrical can with a bottom but no top of volume 4 m3 that uses the least…

A: To Find: Dimension of a cylindrical can with a bottom but no top of volume 4 m3that uses the least…

Q: A right prism has square bases with edges that are three times as long as the lateral edges. The…

A: Given that a right prism has square bases with edges that are three times as long as the lateral…

Q: Find the dimensions of the right-circular cylinder of greatest lateral surface area that can be…

A: Given, The radius of the sphere is 6 inches.

Q: Find the dimensions of the right cylinder with largest volume that can be inscribed in a sphere with…

A: We need to find dimensions of cylinder.

Q: Find the height of the cylinder that can be put into a cone with radius 7 cm and height 12 cm and…

Q: Find the maximum and minimum volumes of a rectangular box whose, surface area is 1300 cm² and whose…

Q: Find the dimensions of the right circular cone of greatest lateral area that can be inscribed in a…

Q: ) A company manufactures cylindrical metal drums with open tops with a volume of lcubicmeter. What…

A: Given that volume=V=1m3what should be the dimensions of the drum in order to use the least amount…

Q: What is the area of the largest rectangle that cab be inscribed in a semi-circle of radius 10?

Q: Find the dimensions and volume of the right circular cylinder of maximum volume inscribed in a…

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

A: Draw the diagram roughly.

Q: Find the dimensions of a closed rectangular box with a square base and volume 3375 in3 that can be…

Q: A cylinder is inscribed in a right circular cone of height 5 and radius (at the base) equal to 7.5.…

Q: Find the height of the cylinder that can be put into a cone with radius 7 cm and height 12 cm and…

Q: Find the dimensions of a right circular cylinder of maximum volume which can be inscribed in a…

A: NOTE: Refresh your page if you can't see any equations. . the radius of the sphere is R=12 the…

Q: find the volume of a right pyramid whose altitude is 50 meters and whose base is a square with sides…

A: Given: altitudeh=50m, base lengtha=30m We know that volumeV of square pyramid is given by V=13a2h…

Q: List all possible integral dimension combinations for a right rectangular prism with the same volume…

A: Given that: A rectangular prism with dimensions as follows: 2in. x 6 in x9 in

Q: Find the largest volume of a right cylinder that can be inscribed in a sphere of radius 12

Q: A rectangular piece of sheet metal with an area of 1200 in2 is to be bent into a cylindrical length…

A: suppose that the length of the rectangular piece of sheet metal is y and the width is x so its area…

Q: Determine the volume and the lateral area of a truncated right square whose base edge is 4in and…

A: Given that a truncated right square has base edge 4in and lateral edges measure 6in, 7in, 9in and 10…

Q: Find the height of a circular cylinder of max. volume that can be cut from a spherical wood of…

A: using double derivative test to find out height when cylinder volume would be maximum.

Q: Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 44.

A: Given:

Q: A poster of area 6000 cm2 has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the…

A: SOLUTION-

Q: Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its…

A: Follow the procedure given below.

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

A: Given, Radius=3 inch Height=10 inch The formula for the volume of a cylinder is, v=πr2h Let, x be…

Q: 7. Find the dimensions of the right circular cylinder of greatest volume that can be inscribed in a…

A: Given

Q: Find the dimensions of the closed rectangular box with maximum volume that can be inscribed in the…

A: Let 2x, 2y, 2z be the dimensions of rectangular box. Then Let

Q: A swimming pool is shaped like a rectangular box with a base of 25 m by 15 mand has a uniform depth…

A: Given that dimension of rectangular swimming pool is 25 m×15 m×2.5 m. but water is filled to 2 m…

Q: Calculate the volume of a water cylinder with total height of 10 meters, diameter of 400…

A: Radius of cylinder = Radius of Hemisphere = R = Diameter2 = 4002 = 200 cmTotal Height of container =…

Q: 2. A watermelon in a shape of a sphere and radius of 10 cm was cut into eight equal parts, Each cut…

A: The red ray : x axisThe green ray : y axisThe blue ray : z axisThe arrow directs in +ve…

Q: Find the volume of the largest right circular cone that can be incribed in a sphere of radius 3. 3 y…

Q: A company manufactures cylindrical metal drums with open tops with a volume of lcubicmeter. What…

A: Let the radius of the cylinder is =r and the height of the cylinder is =h The volume of the cylinder…

Q: a right triangular pyramid has a lateral edge that measures as long as the side of its regular…

A: We can find the volume and total surface area as below.

Q: A swimming pool is shaped like a rectangular box with a base of 25 m by 15 m and has a uniform depth…

Q: If an open box is made from a metal sheet 33 in. by 33 in. square by cutting out identical squares…

A: Given information: The length of the square is 33 inches that has been transformed to cuboidal box…

Q: 2. Find the height of a circular cylinder of max. volume that can be cut from a spherical wood of…

Q: Find the height of a circular cylinder of max. volume that can be cut from a spherical wood of…

A: Let the radius of the cylinder is = r and the radius of the sphere = R Let the height of the…

Q: Determine the dimensions (radius and height) of the largest right circular cylinder. volume that can…

A: Solution:-

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

A: Here we have to determine the dimensions of the right circular cylinder, with the greatest volume,…

Q: To use Cavalier's Principle, we divide a figure into familiar shapes to determine the total area or…

A: In the given definition it is clearly states that: To use Cavalier's Principle, we divide a figure…

Q: Find the dimensions of a right-circular cylinder of greatest volume that can be inscribed in a…

A: Topic = Application of Derivative

Q: Find the dimensions of the right cylinder with largest volume that can be inscribed in a sphere with…

A: We have to find the dimensions of cylinder.

Question

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

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?
. Point P is the centroid for ΔMNO. Calculate OQ if ON=17. Round to the nearest tenth if necessary.
Please help me answer the question to the second attached file "What is the significance of the roots with regard to the volume of the pool?"
Find the dimensions of a right-circular cylinder of greatest volume that can be inscribed in a sphere with a radius of 10 in.
Find the dimensions of a right circular cylinder of maximum volume which can be inscribed in a sphere of radius 12.
Find the dimensions of the right cylinder with largest volume that can be inscribed in a sphere with radius of 10 cm.
To use Cavalier's Principle, we divide a figure into familiar shapes to determine the total area or volume of the original shape. Thus Cavalier's Principle is a strategy that can be used for approximating the _______ and ______ of an irregularly shaped figure.
a right clinder is cut parallel to its base. what is the shape of the two dimensionals cross section created is
Compute the volume of the large cylinder with a small cylinder removed
A right prism has square bases with edges that are three times as long as the lateral edges. The prism's total area is 750 m2 Find the volume.
A rectangular piece of sheet metal with an area of 1200 in2 is to be bent into a cylindrical length ofstovepipe having a volume of 600 in3 . What are the dimensions of the sheet metal?
A piece of wires 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut so that the total area enclosed is maximum ?