Hello!
Before finding the diameter, we need to know the formula for the volume of cylinder. The volume of cylinder is found by using this formula: V = πr²h. In this formula, r is the radius and h is the height.
Since we have the height and volume, we need to find the radius, and then we can find the diameter.
900 = πr²(20) (divide both sides by 20)
45 = πr² (divide both sides by π)
45/π = r² (take the square root of both sides)
r ≈ 3.784 | The radius of the cylinder is equal to about 3.784 centimeters.
To find the diameter, we need to multiply the radius by 2 because half a diameter is equal to the radius.
3.784 × 2 = 7.568 centimeters | This can be rounded to about 7.57 centimeters.
Therefore, the diameter of the cylinder is equal to about 7.57 centimeters.
Answer:
45
Step-by-step explanation:
Let the first term be a and the common difference be d.
So -18=4a+6d and -9=6a+15d. Solving this we get a=-9 and d=3.
So the sum of first 10 terms is 5*(2*(-9)+9*(3))=45
Answer:
r = 8
Step-by-step explanation:
6r = 95-47
6r = 48
r = 48/6
r = 8
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Answer:
(x, y) = (7, -1)
Step-by-step explanation:
The expression for x makes it easy to use that for substitution.
3(-7y) +y = 20
-20y = 20 . . . . . collect terms
y = -1 . . . . . . . . . divide by -20
-7(-1) = x = 7 . . . use y in the second equation to find x
The solution is (x, y) = (7, -1).
Consider the arithmetic sequence: 6, 2, -2, -6, \dots6,2,−2,−6,…6, comma, 2, comma, minus, 2, comma, minus, 6, comma, dots If nn
natka813 [3]
Answer:
Step-by-step explanation:
Let us consider the given terms one by one:
First term, 
= 6
Second term, 
Difference between First and Second term = 2 - 6 = -4
Third term, 
= -2
Difference between Second and Third term = -2 - 2 = -4
Fourth term, 
= -6
Difference between Second and Third term = -6 -(-2) = -4
Therefore, the common difference is:
= -4
Let the use the formula for 
term of an arithmetic sequence:
Putting the values of and :
Therefore, the term is:
