To store rainwater for his garden, Julian is designing a large water tank in the shape of a cylinder with a hemisphere a
Posted: Tue May 10, 2022 6:13 am
To store rainwater for his garden, Julian is designing a large water tank in the shape of a cylinder with a hemisphere at each end. The length of the cylindrical section, a, and the diameter of the tank, d, are shown in the diagram. In dry weather, the garden requires about 250 gallons of water per day. Julian wants a tank that can hold enough water for at least 6 days of watering, but he also wants to keep the tank as small as possible to take up the least amount of space. Based on the materials he has, Julian would like to build one of the following tanks: Tank X: a = 4.0 feet, d = 4.5 feet Tank Y: a = 5.5 feet, d = 5.5 feet Tank Z: a = 6.5 feet, d - 8.5 feet Using 3.14 for in your calculations, determine the storage capacity of each tank, given that for liquids, 1 cubic foot - 7.48 gallons. Which of these statements are true? Select all that apply.
Julian wants a tank that can hold enough water for at least 6 days of watering, but he also wants to keep the tank as small as possible to take up the least amount of space. Based on the materials he has, Julian would like to build one of the following tanks: Tank X: a = 4.0 feet, d = 4.5 feet Tank Y: a = 5.5 feet, d = 5.5 feet Tank Z: a = 6.5 feet, d = 8.5 feet Using 3.14 for 7 in your calculations, determine the storage capacity of each tank, given that for liquids, 1 cubic foot - 748 gallons. Which of these statements are true? Select all that apply. The storage capacity of Tank X is not large enough to water Julian's garden for 6 days. Tank X could hold around 1.550 gal, which is the smallest tank that has the needed storage capacity, so it is the best design to use. The volume of Tank Y would be about 218 ft. Tank y could hold around 1,630 gal, which is the smallest tank that has the needed storage capacity, so it is the best design to use. The volume of Tank Z would be about 4,050 ft? Tank Z could hold around 5.160 gal, which is the only tank that has the needed storage capacity, so it is the best design to use.
Julian wants a tank that can hold enough water for at least 6 days of watering, but he also wants to keep the tank as small as possible to take up the least amount of space. Based on the materials he has, Julian would like to build one of the following tanks: Tank X: a = 4.0 feet, d = 4.5 feet Tank Y: a = 5.5 feet, d = 5.5 feet Tank Z: a = 6.5 feet, d = 8.5 feet Using 3.14 for 7 in your calculations, determine the storage capacity of each tank, given that for liquids, 1 cubic foot - 748 gallons. Which of these statements are true? Select all that apply. The storage capacity of Tank X is not large enough to water Julian's garden for 6 days. Tank X could hold around 1.550 gal, which is the smallest tank that has the needed storage capacity, so it is the best design to use. The volume of Tank Y would be about 218 ft. Tank y could hold around 1,630 gal, which is the smallest tank that has the needed storage capacity, so it is the best design to use. The volume of Tank Z would be about 4,050 ft? Tank Z could hold around 5.160 gal, which is the only tank that has the needed storage capacity, so it is the best design to use.