The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by th
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The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series
The sigma notation of the series is:
The series is given as:
7 + 16 + 25 +34 +43 +52 + 61
The above series is an arithmetic series, with the following parameters
- First term, a = 7
- Common difference, d = 9
- Number of terms, n = 7
Start by calculating the nth term using:
a(n) = a + (n - 1) * d
This gives
a(n) = 7 + (n - 1) * 9
Evaluate the product
a(n) = 7 - 9 + 9n
Evaluate the difference
a(n) = 9n - 2
So, the sigma notation is:
Read more about arithmetic series at:
Answer:
900 cubic inches.
Step-by-step explanation:
<u>Given the following data </u>
Volume of right circular cone = 300in³
We know that the volume of a right circular cone is given by the formula;
Where;
- V is the volume of right circular cone.
- r is the radius of the base of the right circular cone.
- h is the height of the right circular cone.
The volume of a right circular cylinder is given by the formula;
Thus, multiplying the volume of the right circular cone by 3 would give us the volume of the right circular cylinder.
<em>Substituting into the equation, we have;</em>
V = 300 * 3
V = 900in³
<em>Therefore, the volume of a right cylinder that has the same base and height as the cone is 900 cubic inches.</em>