A storage bin for corn consists of a cylindrical section made of wire mesh, surmounted by a conical tin roof, as shown in the figure. The height of the roof is one-third the entire height of the structure. If the total volume of the structure is 1000 feet 3 and its radius is 
feet, what is its height? Round your answer to the nearest tenth.
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Hint: use the formulas for the volume of the solid.
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Volume of cone = 
Volume of cylinder = 
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Fill in the blank(s) with the appropriate word(s).
2.4
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A new solution is often made using a stock solution from the shelf and diluting it to the proper strength. The formula V1C1 = V2C2 expresses the relation ship between the stock solution and the new solution. V1 represents the volume of the stock solution, C1 represents the concentration of the stock solution while V2 represents the volume of the new solution and C2 represents the concentration of the new solution. Find the volume of stock solution that is needed to make 50 mL of a 5% solution from a stock solution that has a concentration of 25%.
A. 10 mL B. 25 mL C. 50 mL D. 100 mL
Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.The earth is approximately 92,900,000 miles from the sun. If 1 mile = 1.61 × 103 m, what is the distance to the sun in meters?
A. 1.50 × 1010 m B. 5.7 × 10-10 m C. 1.50 × 1011 m D. 5.7 × 1010 m
Remove parentheses and simplify.-2(9r + 8) + 5(4r + 10)
A. 2r + 34 B. -34r C. 7r + 6 D. 2r + 8
Indicate whether the expression is a polynomial or not a polynomial.11z5 + 3z-4 - 8z3 + 12
A. Not a polynomial B. Polynomial