green turtle lays eggs that are approximately spherical with an average diameter of 4.5 centimeters. each turtle lays an average of 113 eggs at one time. Find the total volume of these eggs to the nearest cubic centimeter.

Q: If 1600 square centimeters of material is available to make a box with a square base and an open…

A: Let heigh of box=h  and base sides of box=a  The surface area of open box is   S=the sum of the…

Q: Find the greatest volume of a rectangular box such that the sum of its length, width, and height…

A: Since you have posted multiple questions, I will solve only the first one as per the policy of…

Q: A cylinder with a 6 inch radius is laid on its side and filled to a depth of 9 inches. The cylinder…

A:

Q: The volume of a cubic solid with side length of 4 cm is 43 cm3. True or False?

A:

Q: When a balloon is blown up with air, it has a diameter of 13 inches. Calculate the volume of the…

A: Given that: Diameter of balloon, d=13 in

Q: Find the total base area of a can of soda if the radius of the base is 5 centimeters and the height…

A:

Q: If 1700 square centimeters of material is available to make a box with a square base and an open…

A: Given the surface area of square base box

Q: A metal washer is 1 inch in diameter is pierced by ½ inch diameter hole. What is the volume of the…

A: Here, the metal washer is of the shape cylinder. So, the volume of the cylinder is given by πr2h.…

Q: A truncated hexagonal right prism has an average lateral edge of 24 cm. What is the volume of the…

A: Given, A truncated hexagonal right prism has an average lateral edge of 24 cm. We have to find a the…

Q: A sphere has a surface area of 2463 square inches, what is the approximate volume of the sphere?

A: In this question we have to find the approximate volume of the sphere and surface area of sphere is…

Q: The numerical value of the volume of a cube equals the numerical value of its total surface area.…

A: Given, The volume of a cube=The surface area of cube To find the length of each edge of the cube.

Q: A silo used to store grain can be the modeled as a right circular cylinder with radius 9.5 m and…

A:

Q: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

A: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

Q: A standard-size bass drum has a diameter of 22 inches and is 18 inches deep. Find the volume of this…

A: Use the given information in the formula V=πr2h...(1)

Q: A rectangular solid has a volume of 24 cubic decimeters . the length width and height are all…

A:

Q: A jade comb has a mass of 16 grams and a density of 3.2 grams per cubic centimeter. What is its…

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

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

A: Solution

Q: The height of a cone is measured as 9.3 cm and the radius as 3.2 cm. Each measurement could be off…

A: Given: Let h and r be the height and radius of cone respectively. h=9.3 cmr=3.2 cm The maximum error…

Q: A cone with a diameter of 6 centimeters and a height of 8 centimers is drilled into a wooden cube…

A: Given that diameter of cone is 6 centimeters so radius of cone  r=3 cm height of cone  h=8 cm Also,…

Q: If 1500 square centimeters of material is available to make a box with a square base and an open…

A: We can solve the given problem by using the second derivative test.

Q: What are the dimensions of the lightest open top right circular cylindrical can that will hold the…

A: Let radius = r cm and height = h cm  So,

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

A: It is known that the surfaces area for the rectangular box with edges is x,y and z is 2xy+yz+zx and…

Q: Calculate the volume of the cylinder to the nearest cubic foot if the radius is 15 feet and the…

A: Given Data: The radius of the cylinder is: r=15 ft The height of the cylinder is: h=29 ft The volume…

Q: If 1800 square centimeters of material is available to make a box with a square base and an open…

A: If 1800 square centimeters of material is available to make a box with a square base and an open…

Q: A pressure tank has a hemispherical base surmounted by a right circular cylinder and which in turn…

A: Given data: The diameter of all 3 parts of the tank is, r=1.83 m. The altitude of cylinder is,…

Q: A Plastic flower pot in the form of an inverted pyramid has a height of 6 inches whose four edge's…

A: Solved below

Q: . Assume three identical tennis balls fit into a can with no room to spare. If the can is 12 inches…

A: Given :-  Three tennis balls need a space of 12 inches to fit.    Hence, diameter of each ball = 4…

Q: the length of a side of a cube is equal to the radius of a sphere. which solid has the greater…

A: The length of a side of a cube is equal to the radius of a sphere. Let x be the side of a cube, then…

Q: A cylindrical pipe is 5m long and has an inner diameter of 32cm. The thickness of the pipe is 12mm.…

A:

Q: A sculptor removes a pyramid from a block of wood shaped like a square prism with the same base and…

A: Given, A sculptor removes a pyramid from a block of wood shaped like a square prism with the same…

Q: A cylinder has a base diameter of 20 centimeters and a height of 14 centimeters. What is its volume…

A: Since, it is given that Base Diameter=20cm and height=14 cm. Our Aim is to Find the Volume of the…

Q: The Great Pyramid of Egypt almost has a square base with length of side of about 230m. If the height…

A: Given that,  The Great Pyramid of Egypt has a square base with a length of side 230m and the height…

Q: A self-storage center has many storage rooms that are 6 feet wide, 10 feet deep, and 12 feet high.…

A: Given dimensions of storage room:    width,  w= 6ft    depth,  d=10 ft     height, h=12 ft

Q: Find the volume of hollow hemispherical shell whose diameters of the internal and external surfaces…

A:

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

A:

Q: A cylindrical can has a diameter of 8 inches and a height of 12 inches. Find the volume of the can,…

A:

Q: A metal washer 1-inch in diameter is pierced by 2-inch hole. What is the volume (in cubic inches) of…

A:

Q: Find the height and radius of a cylinder with volume 250pi in^3 and with the smallest total surface…

A: The volume of the cylinder with radius r and height h is V = 250π in3  ⇒ πr2h = 250π…

Q: A cylindrical container has a volume of 84 cubic inches and a radius of 3 inches. Find the height of…

A: Given that, volume of the cylindrical container is 84 cubic inches and radius is 3 inches. It is…

Q: Find the dimensions of a box with largest volume whose surface area is 100 cm?.

A:

Q: An oak dresser has a density of 600 kilograms per cubic meter and a volume of 0.5 cubic meters. What…

A: A) Density is 600 kg/m3 Volume = 0.5 m3 Density= mass/volume 600 = mass/ 0.5 mass= 300 kg

Q: If 1500 square centimeters of material is available to make a box with a square base and an open…

A: We have to find the largest possible volume of the box.

Q: If 1400 square centimeters of material is available to make a box with a square base and an open…

A: Explained below

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: Multivariable optimization question

A:

Q: If 1000 square centimeters of material is available to make a box with a square base and an open…

A: Solve for the largest possible volume

Q: The Happy Oatmeal Company created a new cylindrical-shaped container to package their oatmeal.…

A: We will need to recall the formula for calculating the volume of a cylinder.

Q: A clay pot has a density of 2.4 grams per cubic centimeter and a mass of 180 grams. What is its…

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

Q: The surface area of a sphere is 5024 square meters. What is the volume of the sphere?

A: Given, The surface area of a sphere is 5024 square meters.