Is this correct ? Hope this helped!
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Let x represent radius of circle.
We have been given that the height of a cylinder is twice the radius of its base. So height of cylinder would be .
Now we will use volume of cylinder formula to our given problem.
, where,
r = Radius of base of cylinder,
h = Height of cylinder.
Upon substituting our given values, we will get:
Therefore, our required volume expression would be .
QUESTION 1.
The factors of 54 are all natural numbers that can divide 54 exactly.
The factors of 54 are: {1,2,3,6,9,18,27,54}
QUESTION 2
The prime factors of 54 are factors of 54 that are prime numbers.
The prime factors of 54 are {2,3}.
Product of prime factors of 54 is
QUESTION 3
All the factors of 60 are all positive integers that divide exactly into 60.
The factors of 60 are {1,2,3,4,5,6,10,12,15,20,30,60}
QUESTION 4
The prime factors of 60 are factors of 60 that are prime numbers.
The prime factors of 60 are {2,3,5}
The prime factorization of 60 is .
QUESTION 5
The factors of 30 are {1,2,3,5,6,10,15,30}
The different ways she can put the beads into the boxes are
,
All 30 beads into one box or 1 bead in 30 boxes.
,
2 beads each into 15 boxes or 15 beads each into 2 boxes
,
3 beads each into 10 boxes or 10 beads each into 3 boxes
,
6 beads each into 5 boxes or 5 beads each into 6 boxes