The diameter of a metallic sphere is 6 cm .The sphere is melted and drawn into a wire uniform cross section . if the length of the wire is 36 m , find its radius

Q: A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 18 inches…

A: Given that , Total length of the sheet = 18 inches find width across the top will give the greatest…

Q: The diagonal of a cylinder measures 5m and its diameter is 3m. What is the lateral area of the…

A:

Q: nearest

A: Given Length of pipe = 25 ft Volume of pipe = 900 ft3

Q: The volume of a cylinder is 72 m and the radius is 3 m. What is the height of cylinder?

A: GivenVolume of the cylinder = 72 m^3and Radius of the cylinder = 3 m

Q: This water tower holds 85,000 cubic feet of water. If we know that the tower has a diameter of 30…

A:

Q: the base of the prism is a rectangle whose length is 3 cm more than the width. of the altitude of…

A:

Q: A rectangular parcel of land is 70 ft. longer than it is wide. Each diagonal bewteen opposite…

A:

Q: What is the difference in area between a circle with a diameter of 3 meters and a square with a side…

A: The area of a circle is given by the formula πr2 where r is the radius of the circle. The area of a…

Q: A cylinder has a base radius of 3cm and a height of 2cm. What is its volume in cubic cm, to the…

A: Volume of cylinder is pir^2h

Q: A sphere has a surface area of 2463 square inches. What is the approximate radius?

A: Given that surface area of sphere=2463 square inchessurface area of sphere=4πr2r2=surface area of…

Q: An ice cream cone has a surface area of 306 cm2 and radius of 5 cm what is the slant height, to the…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: The ratio of the lengths of the radii of two similar cones is 3:5. What is the ratio of the surface…

A:

Q: A trophy is to be molded out of a metal that costs 3 cents per cubic centimeter. If the shape is a…

A: Consider the diagram of the trophy as per given information,

Q: A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If each cubic foot can…

A: Given that Height of cylindrical tank is 5 ft. Radius of the cylindrical tank is 2 ft.   It is known…

Q: A cylinder has a volume of 15000 cm3 and radius =13.4cm. What is the height of the cylinder?

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: A painting with a mass of 15 kg is suspended by two wires from hooks on a ceiling. If the wires have…

A:

Q: Find the largest trapezoid that can be inscribed in a circle with a radius of 5 cm so that its base…

A:

Q: a rectange is 4 inches longer than it is wide. numerically its area exceeds its perimeter by 17.…

A:

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: A square plot of land has a building 60 ft long and 40 ft wide at one corner. The rest of the land…

A: The building will cover an area about 60×40=2400 sq ft. The parking lot covers an area about 12000…

Q: The paper cup is  9 cm tall and the circular opening has a radius of 2.5 cm. What is the minimum…

A:

Q: The base edge of the right triangular prism is an equilateral triangle whose perimeter is 33.6 cm.…

A: Topic = Mensuration

Q: A rectangle has a perimeter of 100 cm. What dimensions will give the biggest area?

A:

Q: What is the ratio of the volume of a cone to the volume of a cylinder, if both have a radius of 8…

A:

Q: the area of the base of a cone is equal to 11.56 π cm2. if the cones slant height measures 5.5cm,…

A:

Q: The length of a side of a square field is 380 m. What will be cost of levelling the field at a rate…

A:

Q: A basement for a 25 ft by 42 ft house is to be dug at a depth of 8 feet. How many cubic yards of…

A: Given: Size of basement is 25 ft×42 ft and depth of house=8 ft.

Q: Find that length of canvas % meters wide is required to make a conical tent 8 meters in diameter and…

A: Canvas will be on the curved surface area of the tent.   The curved surface area of the conical tent…

Q: If the radius length of one sphere is three times as long as the radius length of another sphere,…

A: Let a be the length of the radius of the smaller sphere.Since, it is given that the length of one…

Q: The length of a rectangular garden is 4 ft longer than its width. The garden has a wall along one…

A:

Q: the

A:

Q: A right triangle has an area of 84 ft2 and a hypotenuse  25 ft long. What are the lengths of its…

A: A triangle is a polygon having three sides and three vertices. The sum of the interior angles of…

Q: A solid cube of metal whose edges are 22 cm is melted and recast into rectangular solid whose base…

A:

Q: The lateral area of a cone with a diameter of 10 centimeters is about 250.5 square centimeters. To…

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

Q: If the 3 cm radius by 20 cm height cone was placed inside the cylinder with the same dimensions, how…

A:

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: A water trough is 9 m long and has a cros height 50 cm. If the trough is being filled m/min

A: Given a water trough which is 9 m long and has a cross section in shape of an isosceles trapezoid

Q: A prism has a volume of 213 ft3. what is the volume of a pyramid that has the same base and height…

A:

Q: (a) An open rectangular box with square ends is to be built to hold 392 ft at a cost of Php 75/ft?…

A: According to question,Given volume,Volume of box = 392 ft3,Cost for build base = 75/ft2,Cost for…

Q: How many square meters of canvass are required for a conical tent 5.5 m high and 3 m diameter if 10%…

A: We know that the curverd surface area of cone :SA=πrh2+r2where r = radius and h = height

Q: A cone-shaped block has a slant height of 6 inches and has a radius of 4 inches. What is the minimum…

A: we use formula   surface Area of cone =  πrl + πr2

Q: How many cubic feet of soil must be excavated to make a railroad embankment 200 ft long if a cross…

A: Solve by using mensuration formulas

Q: A solid steel cylinder has a radius of 2.5 cm and a height of 10 cm. A tight-fitting sleeve is to be…

A: Given that, The radius of steel cylinder = 2.5 cm Height of cylinder = 10 cm Volume of cylinder = pi…

Q: A square plot of land has a building 80 ft long and 20 ft wide at one corner. The rest of the land…

A: Let x be the side of the square land area.

Q: The base of a right triangular prism is an equilateral triangle of side 5cm. Find its lateral area…

A: The base of a right triangular prism is an equilateral triangle of a side 5cm. Also, the height is 6…

Q: Three pipes, each of radius 4 inches, are stacked. What is the height of the stack?

A: Consider the three pipes of the  radius is 4 in and the diagram for it is shown in figure below.

Q: The diameter of a circle is 7 m. Find its area to the nearest tenth.

A:

Q: The two figures represent the dimensions of the scale drawing of an actual field and the actual…

A: Given the two figures which represent the dimension of the scale drawing of an actual field and the…

Q: A spherical segment has a height of 5 cm. If its volume is 90 cubic centimeters, what is its…

A: Consider the given figure. Given that height of the spherical segment h=5 cm And volume V90 cubic…