Solve the following problems with and without calculus. A good picture helps . a. A cube with side length r is inscribed in a sphere, which is inscribed in a right circular cone, which is inscribed in a right circular cylinder. The side length (slant height) of the cone is equal to its diameter. What is the volume of the cylinder? b. A cube is inscribed in a right circular cone with a radius of 1 and a height of 3. What is the volume of the cube? c. A cylindrical hole 10 in long is drilled symmetrically through the center of a sphere. How much material is left in the sphere? (Enough information is given).

Q: A food company manufactures a frozen dessert consisting of an ice cream cone filled to the brim with…

A: The slant height of the cone, l = 125 mm Radius of the base, r = 44 mm To determine: The volume of…

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A: We  have to find the  a) The volume of given figure. b)The surface  area of given figure.

Q: 3. A granola bar has a length of 6 in., a width of 1/2 in., and a height of in. Describe how you can…

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Q: 4. The altitude of a right hexagonal prism is twice as long as the edge of the base. If the prism…

A: Given Volume = 1923in3

Q: A box has dimensions 6 in. x 9 in. x 4 in. A new box has dimensions that are half the dimensions of…

A: Dimensions of the old box are l=6 in, w=9 in, h=4 in

Q: Ppg. 41. Answer the following problems. Find the volume and surface area of the torus formed by…

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Q: A cylindrical container for storing radioactive waste is to be constructed from lead and have a…

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Q: . A truck rental company rents a 12-ft by 8-ft by 6-ft truck for $69.95 per day plus mileage. A…

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Q: A dairy farmer has 1500 feet of fencing. He wants to use all 1500 feet to construct a rectangle and…

A: Given that  Total fencing = 1500 feet Length of the larger rectangle = L Width of the larger…

Q: An object is formed so that its base is the quarter circle y = √4x² in the first quadrant, and its…

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Q: The volume of a right circular cone of radius 7 and height h is given by V A-h. Suppose that the dh…

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Q: answer. Tank 2 9 in 3 in Tank 1 6 in 1in 2 in 1.5 in The inside of a tank is in the shape of a right…

A: Given: dimension of the aquarium 90cm long 48cm wide 60 cm deep

Q: 10) Messi wants to HALLENGE introduce a new size of Progresso soup cylinder can with its diameter…

A: Volume of cylinder is

Q: A right prism has a base in the form of a hexagon inscribed in a circle with a radius 8 cm. The…

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Q: A scale of the Earth has a diameter of 11 inches. Every 3 inches on the globe is equivalent to 1035…

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Q: 4. Determine the volume of grain that can be stored in the silo. 28 5. Determine the surface area of…

A: Given query is to find the volume and surface are of silo.

Q: . A particle moves along a curve so that its position at time t≥ 0 is given by x (t) = e 2t and y(t)…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Use calculus to derive the volume of the unit sphere.

A: Use calculus to derive the volume of the unit sphere.

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the…

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