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A grain silo is built from two right circular cones anda right circular cylinder with internal measurements represented by the figure above. Of the following,which is closest to the volume of the grain silo, incubic feet?
  • a)
    261.8
  • b)
    785.4
  • c)
    916.3
  • d)
    1,047.2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A grain silo is built from two right circular cones anda right circula...
Choice D is correct. The volume of the grain silo can be found by adding the volumes of all the solids of which it is composed. The silo is made up of a cylinder with height 10 feet (ft) and base radius 5 feet and two cones, each having height 5 ft and base radius 5 ft. The formulas Vcylinder = πr2h and Vcone  = 1/3πr2h can be used to determine the total volume of the silo. Since the two cones have identical dimensions, the total volume, in cubic feet, of the silo is given by  which is approximately equal to 1,047.2 cubic feet. Choice A is incorrect because this is the volume of only the two cones. Choice B is incorrect because this is the volume of only the cylinder. Choice C is incorrect because this is the volume of only one of the cones plus the cylinder.
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Most Upvoted Answer
A grain silo is built from two right circular cones anda right circula...
Choice D is correct. The volume of the grain silo can be found by adding the volumes of all the solids of which it is composed. The silo is made up of a cylinder with height 10 feet (ft) and base radius 5 feet and two cones, each having height 5 ft and base radius 5 ft. The formulas Vcylinder = πr2h and Vcone  = 1/3πr2h can be used to determine the total volume of the silo. Since the two cones have identical dimensions, the total volume, in cubic feet, of the silo is given by  which is approximately equal to 1,047.2 cubic feet. Choice A is incorrect because this is the volume of only the two cones. Choice B is incorrect because this is the volume of only the cylinder. Choice C is incorrect because this is the volume of only one of the cones plus the cylinder.
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Question is based on the following passage and supplementary material.This passage is adapted from Geoffrey Giller, “Long a Mystery, How 500-Meter-High Undersea Waves Form Is Revealed.” ©2014 by Scientific American.Some of the largest ocean waves in the world arenearly impossible to see. Unlike other large waves,these rollers, called internal waves, do not ride theocean surface. Instead, they move underwater,5 undetectable without the use of satellite imagery orsophisticated monitoring equipment. Despite theirhidden nature, internal waves are fundamental partsof ocean water dynamics, transferring heat to theocean depths and bringing up cold water from below.10 And they can reach staggering heights—some as tallas skyscrapers.Because these waves are involved in ocean mixingand thus the transfer of heat, understanding them iscrucial to global climate modeling, says Tom15 Peacock, a researcher at the Massachusetts Instituteof Technology. Most models fail to take internalwaves into account. “If we want to have more andmore accurate climate models, we have to be able tocapture processes such as this,” Peacock says.20Peacock and his colleagues tried to do just that.Their study, published in November in GeophysicalResearch Letters, focused on internal waves generatedin the Luzon Strait, which separates Taiwan and thePhilippines. Internal waves in this region, thought to25 be some of the largest in the world, can reach about500 meters high. “That’s the same height as theFreedom Tower that’s just been built in New York,”Peacock says.Although scientists knew of this phenomenon in30the South China Sea and beyond, they didn’t knowexactly how internal waves formed. To find out,Peacock and a team of researchers from M.I.T. andWoods Hole Oceanographic Institution worked withFrance’s National Center for Scientific Research35 using a giant facility there called the CoriolisPlatform. The rotating platform, about 15 meters(49.2 feet) in diameter, turns at variable speeds andcan simulate Earth’s rotation. It also has walls, whichmeans scientists can fill it with water and create40accurate, large-scale simulations of variousoceanographic scenarios.Peacock and his team built a carbon-fiber resinscale model of the Luzon Strait, including the islandsand surrounding ocean floor topography. Then they45 filled the platform with water of varying salinity toreplicate the different densities found at the strait,with denser, saltier water below and lighter, lessbriny water above. Small particles were added to thesolution and illuminated with lights from below in50order to track how the liquid moved. Finally, theyre-created tides using two large plungers to see howthe internal waves themselves formed.The Luzon Strait’s underwater topography, with adistinct double-ridge shape, turns out to be55 responsible for generating the underwater waves.As the tide rises and falls and water moves throughthe strait, colder, denser water is pushed up over theridges into warmer, less dense layers above it.This action results in bumps of colder water trailed60by warmer water that generate an internal wave.As these waves move toward land, they becomesteeper—much the same way waves at the beachbecome taller before they hit the shore—until theybreak on a continental shelf.65 The researchers were also able to devise amathematical model that describes the movementand formation of these waves. Whereas the model isspecific to the Luzon Strait, it can still helpresearchers understand how internal waves are70generated in other places around the world.Eventually, this information will be incorporated intoglobal climate models, making them more accurate.“It’s very clear, within the context of these [globalclimate] models, that internal waves play a role in75 driving ocean circulations,” Peacock says.Q.Which choice provides the best evidence for the answer to the previous question?

Question is based on the following passage and supplementary material.This passage is adapted from Geoffrey Giller, “Long a Mystery, How 500-Meter-High Undersea Waves Form Is Revealed.” ©2014 by Scientific American.Some of the largest ocean waves in the world arenearly impossible to see. Unlike other large waves,these rollers, called internal waves, do not ride theocean surface. Instead, they move underwater,5 undetectable without the use of satellite imagery orsophisticated monitoring equipment. Despite theirhidden nature, internal waves are fundamental partsof ocean water dynamics, transferring heat to theocean depths and bringing up cold water from below.10 And they can reach staggering heights—some as tallas skyscrapers.Because these waves are involved in ocean mixingand thus the transfer of heat, understanding them iscrucial to global climate modeling, says Tom15 Peacock, a researcher at the Massachusetts Instituteof Technology. Most models fail to take internalwaves into account. “If we want to have more andmore accurate climate models, we have to be able tocapture processes such as this,” Peacock says.20Peacock and his colleagues tried to do just that.Their study, published in November in GeophysicalResearch Letters, focused on internal waves generatedin the Luzon Strait, which separates Taiwan and thePhilippines. Internal waves in this region, thought to25 be some of the largest in the world, can reach about500 meters high. “That’s the same height as theFreedom Tower that’s just been built in New York,”Peacock says.Although scientists knew of this phenomenon in30the South China Sea and beyond, they didn’t knowexactly how internal waves formed. To find out,Peacock and a team of researchers from M.I.T. andWoods Hole Oceanographic Institution worked withFrance’s National Center for Scientific Research35 using a giant facility there called the CoriolisPlatform. The rotating platform, about 15 meters(49.2 feet) in diameter, turns at variable speeds andcan simulate Earth’s rotation. It also has walls, whichmeans scientists can fill it with water and create40accurate, large-scale simulations of variousoceanographic scenarios.Peacock and his team built a carbon-fiber resinscale model of the Luzon Strait, including the islandsand surrounding ocean floor topography. Then they45 filled the platform with water of varying salinity toreplicate the different densities found at the strait,with denser, saltier water below and lighter, lessbriny water above. Small particles were added to thesolution and illuminated with lights from below in50order to track how the liquid moved. Finally, theyre-created tides using two large plungers to see howthe internal waves themselves formed.The Luzon Strait’s underwater topography, with adistinct double-ridge shape, turns out to be55 responsible for generating the underwater waves.As the tide rises and falls and water moves throughthe strait, colder, denser water is pushed up over theridges into warmer, less dense layers above it.This action results in bumps of colder water trailed60by warmer water that generate an internal wave.As these waves move toward land, they becomesteeper—much the same way waves at the beachbecome taller before they hit the shore—until theybreak on a continental shelf.65 The researchers were also able to devise amathematical model that describes the movementand formation of these waves. Whereas the model isspecific to the Luzon Strait, it can still helpresearchers understand how internal waves are70generated in other places around the world.Eventually, this information will be incorporated intoglobal climate models, making them more accurate.“It’s very clear, within the context of these [globalclimate] models, that internal waves play a role in75 driving ocean circulations,” Peacock says.Q.According to Peacock, the ability to monitor internal waves is significant primarily because

A grain silo is built from two right circular cones anda right circular cylinder with internal measurements represented by the figure above. Of the following,which is closest to the volume of the grain silo, incubic feet?a)261.8b)785.4c)916.3d)1,047.2Correct answer is option 'D'. Can you explain this answer?
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A grain silo is built from two right circular cones anda right circular cylinder with internal measurements represented by the figure above. Of the following,which is closest to the volume of the grain silo, incubic feet?a)261.8b)785.4c)916.3d)1,047.2Correct answer is option 'D'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about A grain silo is built from two right circular cones anda right circular cylinder with internal measurements represented by the figure above. Of the following,which is closest to the volume of the grain silo, incubic feet?a)261.8b)785.4c)916.3d)1,047.2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A grain silo is built from two right circular cones anda right circular cylinder with internal measurements represented by the figure above. Of the following,which is closest to the volume of the grain silo, incubic feet?a)261.8b)785.4c)916.3d)1,047.2Correct answer is option 'D'. Can you explain this answer?.
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