My teacher never explained how to do these problems in our class and he expects it to be done tomorrow. Please some help me with these two questions, I'm at a lost.1) A grain silo consists of cylindrical main section and a hemispherical roof. If the total volume of the silo (including the part inside the roof section) is 15,000 ft^3 and the cylindrical part is 30 ft tall, what is the radius of the silo, correct to the nearest tenth of a foot?2) A box with a square base has length plus firth of 108 in. What is the length of its volume in 2200 in^3?
this may well be a substitution problem. sparkling up X + 3Y = sixteen X = sixteen - 3Y now substitute that into the different equation: 4X + 7Y = 39 4(sixteen - 3Y) + 7Y = 39 sixty 4 - 12Y + 7Y = 39 sixty 4 - 5Y = 39 25 - 5Y = 0 25 = 5Y Y = 5 considering the fact that Y = 5, then X could equivalent sixteen - 3Y = sixteen - 3(5) = sixteen - 15 = a million X = a million
I hope you're meant to do this by calculator, because solving a cubic looks like this: www.math.vanderbilt.edu/~schectex... TI-83 et al. have a solve button - check your calculator's manual for instructions on using it. 1) Volume of a cylinder = π r^2 h Volume of a sphere = 4/3 π r^3 Note that because the cylinder meets the hemisphere at a great circle, they have the same radius. Total volume of the silo = 2/3 π r^3 + π r^2 h 15,000 = 2/3 π r^3 + 30 π r^2 r^3 + 45r^2 - 22500/π = 0 2) too many typos. firth = height? x + y = 108 x^2 y = 2200 x^2(108 - x) = 2200 0 = x^3 - 108 x^2 + 2200
