How does the volume of a cylinder with a radius of 6 inches and a height of 8 inches compare to the volume of a cylinder with radius of 8 inches and height of 6 inches?

Q: A sphere has a radius of 9 inches. what is the volume of the sphere in cubic inches in terms of

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Q: If nine liters are removed from a container full of water and replaced it with pure soy sauce, then…

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Q: A rectangular piece of cardboard, whose area is 198 square centimeters, is made into an open box by…

A: Let the length of the box is = x cm  width= y cm.  Given height= 2 cm  So the volume=2xy

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: What is the length of the edge of a cube if,after a slice 1 inch thick is cut from one side,the…

A: Given: The edge of the cube cut the 1 inch. After that volume remains 294 cubic inches.

Q: If you have a cone whose height is 10 cm and a radius of 3cm, how will the volume change if the…

A: given,       If you have a cone whose height is 10 cm and a radius of 3cm.     and if the height…

Q: A hemispherical tank is filled with water and has a diameter of 5 feet. If water weighs 62.4 pounds…

A: A hemispherical tank is filled with water and has a diameter of 5 feet. If water weighs 62.4 pounds…

Q: A rectangular piece of metal is 30 in longer than it is wide. squares with sides 6 in. long are cut…

A: Consider the provided question,Let width of the rectangular piece of metal = x in.Length = (x + 30)…

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

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Q: The diameter of a sphere is 15 inches. What is the volume of the sphere, to the nearest tenth of a…

A: We find volume of sphere here.

Q: As part of a landscaping project, you put in a flower bed measuring 10 feet by 12 feet. You plan to…

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Q: The length of the edge of one cube is 2.75 millimeters.  What is the surface area, in square…

A: The surfase area of cube=6×side2. See 2nd step.

Q: A rectangular prism has a base area of 380 square feet. the volume of the prism is 4180 cubic feet.…

A: Step (I)Given:base area of prism=380 squarefeetvolume of prism=4180 cubic feetfind height of the…

Q: What is the surface area of a box 12 inches long by 8 inches tall by 5 inches deep? The surface area…

A: Given that the length(l) of the box is 12 inches, width(w) is 5 inches and height(h) is 8 inches.

Q: what is the volume of a zero box that is 2 inches thick 12 inches high and 10 inches wide

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Q: What is the maximum capacity of a dumpster that is 8 meters long, 5 meters wide, and 4 meters high?

A: In the given question the maximum capacity is asked of a dumpster of which dimensions are as follows…

Q: A crowd standing along a parade route is 5 feet deep and 1 mile long on both sides of the street. If…

A: The ratio of person to area occupied is computed as follows. p:A=1:2.5=2:5 Observe that 1 mile =…

Q: Find the volume of the largest box that can be made by cutting equal squares out of the corners of a…

A: Form the equation for the volume then maximize using first derivative.

Q: Find the volume of the largest box with no top that can be made from a piece of cardboard 30 inches…

A: Given that a box with no top has to be made from a piece of square cardboard of side  30 inches by…

Q: The surface area of two similar figures are 1377 sg. ft and 68 sq. ft . If the volume of the larger…

A: we will answer the first question since exact one was not specified. Please resubmit the question…

Q: What is the area of a rectangle with a length of 3 cm and a width of 4.5 cm?

A: Given, A rectangle with, length= 3cm width= 4.5cm

Q: If one 11 oz. spray paint can provide coverage for up to 864 square inches, will you have enough for…

A: Given: Surface area of the cylindrical tin=603.2 in2

Q: How many more cubic inches are in the volume of a cylinder with a diameter of 12 inches and a height…

A: Cylinder A: Diameter = 12 inches radius = 6 inches Height = 13 inches   The volume of cylinder A: VA…

Q: The volume of a cubic solid with side length of 4 cm is 43 cm3, is 16 cubic centimeters. True or…

A: We will solve the following.

Q: A cube shaped box has a volume of 125 inches.  If the box is packed full of cubes with edge lengths…

A: Vbigger box = 125  cubic inchEdge length of small cube = 1 inchVolume of one small cube, Vsmall cube…

Q: When the height of the metal in the mold is 11 centimeters , the volume of metal in the mold will be…

A: Consider:

Q: the volume of a sphere is 40π cubic meters, what is its surface area?

A: This question is related to sphere, we will use formula for volume of sphere and surface area of…

Q: A painting measuring 10 inches by 16 inches is surrounded by a frame of uniform width. If the…

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Q: The stack of memo pads contains 500 sheets of paper. If each sheet of paper is 4 inches by 4 inches…

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Q: If I have a cube that is 1 meter on each side, what is the surface area of one side in square…

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Q: How does the volume of a rectangular prism change if its width is multiplied by 4

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Q: The volume of one of the Great Lakes is 3.5 x 103 cubic kilometers.  If there are 6.3 x 107 fish in…

A: Given that The volume of one of the Great Lakes is 3.5 x 10^3 cubic kilometers. And number of fish…

Q: A hemispherical tank is filled with water and has a diameter of 22 feet. If water weighs 62.4 pounds…

A: the volume of a hemisphere is given by  V=23πr3 here diameter is 22 feet so the radius is r=11 feet…

Q: A rancher wants to enclose two rectangular areas near a river, one for sheep and one for cattle. The…

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Q: What is the clearance volume of a cylinder that has a total volume of 62 cubic inches, the piston is…

A: Given data:L = 3 3/4 in.=15/4=3.75 in.D = 4.25 in.Total volume = 62 in3.The piston displacement is…

Q: The height of a cylinder is 8 centimeters. The circumference of the base of the cylinder is 20π…

A: we have to find the volume of the cylinder

Q: The diameter of one celestial body is about four times the diameter of a similarly proportioned…

A: Let diameter of the small celestial body be "d" Given diameter of big celestial body is 4*diameter…

Q: An ice cream waffle cone can be modeled by a right circular cone with a base diameter of 5.5…

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Q: One round cake pan has a diameter of 10 inches. A second round cake pan has a diameter of 8 inches.…

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Q: A hemispherical tank is filled with water and has a diameter of 16 feet. If water weighs 62.4 pounds…

A: we know weight is density×volume.density of water is already given 62.4 lb/ft3. we need to find the…

Q: A rectangular field is fenced off, an existing wall being used as one side. If the area of the field…

A: Suppose, L is the length and  W is the width of the rectangular field. Then  Area A=L×W But, area is…

Q: A rectangular piece of cardboard, whose area is 168 square centimeters, is made into an open box by…

A: Consider a rectangle  piece of cardboard whose length is x centimeters, breadth y centimeters and…

Q: The radius of a sphere is 6 centimeters. Which is the volume of the sphere

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Q: Mr. Trombley says that half a sphere stacked on top of a cone roughly models an ice Cream cone. Find…

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Q: A weed killer is to be applied at a rate of two ounces per 1000gallons of water (2oz/1000gallons).…

A: GivenThe applied rate of a weed killer is 2 Oz/1000 gallons 28.375 mL per 1 Oz 4.5 liters per 1…

Q: A 12-ounce soda is roughly 12 centimeters tall by 6 centimeters wide. Convert the volume to cubic…

A: given that 12 ounce soda can is 12 cm tall and 6 cm wide this dimensions can be represented as top…

Q: The area of a rectangular window is to be 306 square centimeters. If the length exceeds the width by…

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Q: The area of the front cover of a daily journal is 273 cm², and the length is 8 cm greater than the…

A: Here vine that  Area of the front cover=273cm2 Let the breadth of the cover= x cm so,…

Q: When a body is immersed in water in a right circular cylinder 60 cm. in diameter, the level of the…

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Q: The base of a rectangular box measures 2 feet by 5 feet. If the volume is 40 cubic feet then the…

A: The base of a rectangular box measures 2 feet by 5 feet. If the volume is 40 cubic feet then the…

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.