Mike put 400 baseballs into 10 trash bins. He put the same number of baseballs in each bin. He took 5 trash bins of baseballs to
1 answer:
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Option B: 67.02 cubic inches
<h2>Given that:</h2>
The diagram consists of two parts:
- First a cone on the top with 12 inches height and 4 inches diameter.
- Second a semi sphere with diameter of 4 inches.
The amount of foams that can be stuffed with foam is total volume of both the containers.
Volume of the given cone of 12 inches height and 4 inches diameter can be given as:
Volume of the semi sphere of 4 inches diameter can be given as:
Thus total volume is 50.265 + 16.755 = 67.02 cubic inches.
Thus option B : 67.02 cubic inches is the needed volume.
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We have the expression 
; to find the common denominator we are going to decompose each one of the denominators into prime factors, and then we are going to multiply the common factors raised to the highest power and all the non common factors.
The denominators of our fractions are 3, 6, and 9. 3 is already a prime, so we are going to let that one alone. 6 on the other hand is divisible by tow, so it can be decomposed into tow prime factors 2 and 3:
.
9 is divisible by 3, so it can also be decomposed into tow prime factors 3 and 3:
.
We have a common factor 3 in all our denominators, and among them the one raised to the highest power is
. On the other hand we only have one non-common factor, 2. So, our common denominator will be:
Now we know that the common denominator of our standard form fraction is 18, the only thing left is convert the denominators of each one of our fractions to 18 and simplify. To do that we are going to divide the common denominator by the denominator of each fraction, and then multiply the quotient by each one of the numerators:
Answer:
The denominators of our fractions are 3, 6, and 9. 3 is already a prime, so we are going to let that one alone. 6 on the other hand is divisible by tow, so it can be decomposed into tow prime factors 2 and 3:
9 is divisible by 3, so it can also be decomposed into tow prime factors 3 and 3:
We have a common factor 3 in all our denominators, and among them the one raised to the highest power is
Now we know that the common denominator of our standard form fraction is 18, the only thing left is convert the denominators of each one of our fractions to 18 and simplify. To do that we are going to divide the common denominator by the denominator of each fraction, and then multiply the quotient by each one of the numerators:
Answer: