Answer:
6
Step-by-step explanation:
Factorize of the above numbers :
30 = 2 • 3 • 5
66 = 2 • 3 • 11
84 = 22 • 3 • 7
Build a prime factors table
Number of times each prime factor
appears in the factorization of :
Prime
Factor Number
30 Number
66 Number
84 G.C.F
(min)
2 1 1 2 1
3 1 1 1 1
5 1 0 0 0
7 0 0 1 0
11 0 1 0 0
GCF = 2 • 3
Greatest Common Factor is :
6
Calculate the volume of sand, the cone will be completely filled and the cylinder will have sand up to the 30 mm level.
Volume of sand will = the volume of the cone:
= 1/3 * pi * (6 mm)^2 * 15
= 1/3 * pi * 36 * 15 =180 pi cubic mm
the cylinder will have a volume of sand equal to:
= pi * (6 mm)^2 * 30 mm
= pi * 36 sq mm * 30 mm
= 1080 pi cubic mm
The total sand is the sum:
= 1080 pi cubic mm +180 pi cubic mm
= 1260 pi cubic mm.
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The answer is b. the data shows that the authors connot make a determination either way with this data.
He would want to charge $0.85 per glass of lemonade to cover his expenses and have $10.00 profit. But in reality he would'nt make $17.00 because people don't carry freaking nickels and dimes.