complete question:
Find the volume of the cylinder.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.
Radius = 4 and height = 8.
Answer:
volume of a cylinder ≈ 402.30 unit cube
Step-by-step explanation:
The question you to find the volume of a cylinder with a height of 8 and radius of 4. The volume of a cylinder can be represented below
volume of a cylinder = πr²h
where
h = height
r = radius
h = 8
r = 4
volume of a cylinder = πr²h
volume of a cylinder = π × 4² × 8
volume of a cylinder = π × 16 × 8
volume of a cylinder = 128 π
volume of a cylinder = 128 × 3.143
volume of a cylinder = 402.304
volume of a cylinder ≈ 402.30 unit cube
The 21st term of the given arithmetic sequence is 83. The nth term of an arithmetic sequence is applied to find the required value where n = 21.
<h3>What is the nth term of an arithmetic series?</h3>
The nth term of an arithmetic sequence is calculated by the formula
aₙ = a + (n - 1) · d
Here the first term is 'a' and the common difference is 'd'.
<h3>Calculation:</h3>
The given sequence is an arithmetic sequence.
3, 7, 11, 15, 19, ....
So, the first term in the sequence is a = 3 and the common difference between the terms of the given sequence is d = 7 - 3 = 4.
Thus, the required 21st term in the sequence is
a₂₁ = 3 + (21 - 1) × 4
⇒ a₂₁ = 3 + 20 × 4
⇒ a₂₁ = 3 + 80
∴ a₂₁ = 83
So, the 21st term in the given arithmetic sequence is 83.
Learn more about the arithmetic sequence here:
brainly.com/question/6561461
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I won't tell you the answer but I'll tell you how to do it
first, find the area of the rectangle (lxw)
Next, find area of the triangle (BxHx.5)
Then, subtract the area of the rectangle to the area of the triangle
Sin404 = sin(360 + 44)
as sin(360 + α) = sinα
= sin44
They are all true None are false
