Let us say that you are planning to calculate the volume of the space inside a can that is about 3 inches in diameter and about 7 inches in height. With which measurement should you be more careful, the height or the diameter? Use calculus to support your answer.

Q: Miguel built a compost bin in the shape of a rectangular prism. The bin is 6 ft long, 2 ft wide, and…

A: Given dimensions of the prism are  width w=2 feetlenght l=6 feetheight h=4 feet

Q: Find the area of each figure below OHint: a. a square: 7 cm

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Q: A storage tank for butane gas is to be built in the shape of a right circular cylinder of altitude…

A: the volume of the cylinder is given by  v1=πr2h here we have  h=28 feet r=x v1=πx2·28 v1=28πx2

Q: You are painting the sides of a rectangular wooden box for a prop to use in the school play. The box…

A: We have to calculate the total surface area of a given wooden box.

Q: Assume that when you take a bath, you fill a tub to the halfway point. The tub measures 6 feet by 2…

A: The measurement of the tub is  feet by  feet by  feet.The tub is half filled.The rate of flow from…

Q: Determine the volume and the surface area of the three-dimensional figure. Use the z key on your…

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Q: You are looking to purchase a small piece of land in Hong Kong. The price is "only" $60,000 per…

A: Given that, the initial length is L0=30 and the initial width is W0=35. Therefore, the initial area…

Q: A cylinder has a radius of 6 centimeters and a height of 10 centimeters. What would the height of a…

A: The volume of the cylinder is, V = π•6²•10 cm³  So, V = 360π cm³ Now, the cone has the same radius,…

Q: An anthill has a volume of 8792 mm of dirt. Its radius is 20 mm. 20 mm How far does an ant have to…

A: Volume of the cone is V=8792 mm3 and base radius is r=20 mm

Q: A toy model of a train is built with a scale of 1 :12. The model has a surface area of 94 square…

A: Scale factor = dimension of modeldimension of object Let scale factor dented by k then  Area of…

Q: Describe the mathematical relationship of increasing side length to SA/V ratio for all cubes. Do you…

A: First of all, consider the given values and formulas required to solve the question.

Q: One day I was walking there and measured its dimensions. It is shaped like a rectangle with a…

A: Given, length of the rectangle = l = 105 m Width of the rectange = w = 68 m Then radius of the semi…

Q: The conical tank shown here is filled with olive oil weighing 47 lb/ft³. How much work does it take…

A: The conical tank shown here is filled with olive oil weighing 47 lb/ft33.we have to find how much…

Q: Nancy's swimming pool is shaped like a rectangular prism. Nancy is remodeling her swimming pool and…

A: We will find the solution in the following step

Q: The surface area of a right rectangular prism is 228 cm?. If the base is 4 cm x 6 cm, what is the…

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Q: Find the surface area of the composite figure. square inches

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Q: Find the work done when a crane lifts a 6000-pound boulder through a vertical distance of 12 feet.…

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