Sophie is considering upgrading to a larger hot tub. The current hot tub has a cylindrical shape. If the new tub has the same cylindrical shape, with a radius that is twice as large and a height that is 40 % taller, how much greater is the volume of the bigger tub? O 11.2 times greater O 3.9 times greater O 5.6 times greater O 1.6 times greater If the old tank contained 1340 gallons, how many gallons would the new tank hold? gallons If the San Antonio Water Authority charges $8.7 per 1000 gallons, how much would it cost to fill the new tub? Round to the nearest penny. $

The Giza pyramid complex is an archaeological site on the Giza Plateau, on the outskirts of Cairo, Egypt. Two of the Pyramids of Giza consist of the Great Pyramid of Giza and the relatively modest- sized Pyramid of Menkaure shown below. Approximately how many times the volume of the smaller pyramid will the volume of the larger pyramid be? 312 ft 521 ft - 347 ft 296 ft 501 ft 692 ft

You have been tasked with the construction of an aluminum box with a square base and an open top. Using no more than 730 square centimeters of aluminum, what is the largest possible volume your box can contain? Volume =

According to U.S. postal regulations, the girth plus the length of a parcel sent by mail may not exceed 108 inches, where by "girth" we mean the perimeter of the smallest end. What is the largest possible volume of a rectangular parcel with a square end that can be sent by mail? Such a package is shown below, with and measured in inches. Assume . What are the dimensions of the package of largest volume? X y X Find a formula for the volume of the parcel in terms of and . Volume = cubic inches The problem statement tells us that the parcel's girth plus length may not exceed 108 inches. In order to maximize volume, we assume that we will actually need the girth plus length to equal 108 inches. What equation does this produce involving and ?