Find the length of the longest object that will fit inside a cylinder that has a radius of 1 inch and is 2 inches high.

Q: Find the length of the longest object that will fit in a cylinder that has a radius of 1 inch and is…

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Q: A service wire reaches from the top of a barn which is 1 meters hight to a point on the ground 6…

A: What is the length of the wire to the nearest tenth of a meter?

Q: One cake is rectangular with a length of 14 ​inches, a width of 10 ​inches, and a height of 2…

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Q: A poster is to have an area of 240 in with 1 inch margins at the bottom and sides and a 2 inch…

A: let width of printed area x and height is y area =240 x*y=240 x=240/y according to given condititon…

Q: A tank shaped like a right circular cone, vertex down, is 9 feet high and has

A: Given: Let h metres be the height of right circular cone. And d metres is diameter at time t. Then…

Q: The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the…

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Q: The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. If the…

A: Let x be the width and y be the height of the printed area.Then, it is given that xy=1536…

Q: A paint company wants to change the height of its cans of paint to 15 centimeters tall so when the…

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Q: A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose…

A: A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose…

Q: Find the area of the largest isosceles trapezoid inscribed in a semicircle of radius 4 inches if its…

A: Area of trapezoid

Q: A new paper-thin battery is being designed. It will be shaped like a rectangle. To have enough…

A: Given that A paper thin battery is being designed.that shape is ractanguler. Area of battery is 60…

Q: Two similar cones have volumes of 343n cubic centimeters and 512n cubic centimeters. The height of…

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Q: A piece of wire 60 cm long is to be folded into a rectangle.what should be the dimensions so that…

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Q: Find the area of the largest rectangle that can be inscribed in an equilateral triangle of side…

A: Given: A rectangle inscribed in an equilateral triangle of side L assuming one side of the rectangle…

Q: 28, g6) = 2x2 [,3],8 reclanyles

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Q: A right cone has a surface of lllllll area of 440 square inches and a radius of 7 inches. Find its…

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Q: Find the area of the largest rectangle that can be inscribed ina right triangle with legs of lengths…

A: Let x and y be the length and width of the rectangle that is inscribed in a right triangle. The…

Q: The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area…

A: Maxima and minima problem

Q: Find the area of the largest rectangle that fits inside a circle of radius 3

A: Given: Radius of a circle r=3

Q: find the area of the largest square that can be cut from a circle of radius of 4 in

A: To Determine: find the area of the largest square that can be cut from a circle of radius of 4…

Q: Find the maximum area of a rectangle with perimeter 8000 feet?

A: Let length of the rectangle= x feet  Width= y feet  So, perimeter= 2(x+y)=8000

Q: Find the length of the radius and the altitude of the cylinder of greatest volume if the radius…

A: Find the length of the radius and the altitude of the cylinder of greatest volume if the radius…

Q: A poster is to have an area of 210 in^2 with 1 inch margins at the bottom and sides and a 2 inch…

A: The area of the poster is 210 sq inches. let the length and breadth of poster are x and y…

Q: If the length of three sides of a trapezium other than base are equal to 10 cm, then find the area…

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Q: The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the…

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Q: The perimeters of the ends of a frustum are 48 cm and 36 cm. If the height of the frustum be 11 xm,…

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Q: A poster is to have an area of 240 in2 with 1 inch margins at the bottom and sides and a 2 inch…

A:

Q: From the main entrance of a park, there are two pathways where visitors can walk along going to the…

A: Given: Area of garden is 78.54 m2 and distance between main entrance and center of garden is 13 m

Q: Find the area of the largest rectangle that can be inscribed in a right triangle with legs of…

A: Let OAB be the right angled triangle where O is origin, A lies on x-axis and B lies on y-axis.…

Q: Find the area of the largest rectangle that fits inside a semicircle with a radius of 4.

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Q: A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose…

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Q: If the volume of a sphere is 2304 cm cubed. Then what is the radius.  Can you please show the…

A: →Volume of sphere is given by,                                                 V = 43π r3

Q: Find the dimensions of the largest box with a square base that can be cut from a solid sphere of…

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Q: A trapezoid shaped vegetable garden contains a circular shaped water container with a base diameter…

A: Area available for planting can be found by subtracting area of container from area of Trapezoid

Q: kendra says that if she doubles the radius from 6 inches to 12 inches, the cone will have double the…

A: Solution:

Q: Find the radius of a cone whose lateral surface area is 315 centimeters squared and whose slant…

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Q: Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral…

A: Let base of the rectangle = 2x and height = y

Q: The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area…

A: Here we find out the area of poster including margin

Q: Find the area of the largest rectangle that fits into the triangle with sides х — %3D1 ахis, у —…

A:

Q: A geometry student wants to draw a rectangle inscribed in a semicircle of radius 4. If one side must…

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Q: Find the length of the longest object that will fit inside a cylinder that has a radius of 2.25 in…

A: The radius of the cylinder is 2.25 inches. The height of the cylinder is 6 inches.

Q: Find the dimensions of a cylinder that can fit into a hemisphere of radius 10 inches.

A: Let there is cylinder with radius r and height h that be fit in a hemisphere of radius 10 inches.…

Q: The area of a circle is 173 square inches. Find the approximate length of its radius

A: The area of a circle is 173 square inches. Find the approximate length of its radius

Q: The standard running track size for track and field events is 400 m. The track consists of two…

A: Given that: Size of the track = 400 m Area enclosed = 9430 m2

Q: In terms of π, how much longer is the crust on a pizza with a radius of 10 inches than the crust of…

A: The radius of one pizza is 10 inches and radius of another pizza is 5 inches. The amount of the…

Q: The area of a 12m x 14m playground is to be doubled by extending each side length an equal amount.…

A: Given Area=12m x 14mwhere, length=14m and width=12m

Q: Find the area of the largest rectangle that can be inscribed in a circle of radius 10 inches.

A: According to the given figure the representative diagram is shown as below. Let the length of the…

Q: A giant water balloon is in the shape of a sphere. If the water balloon holds 4,500n cubic inches of…

A: Given : Volume = 4500π

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.