<u>Given</u>:
Given that the radius of the cylinder is 4 cm.
The height of the cylinder is 9 cm.
We need to determine the volume of the cylinder.
<u>Volume of the cylinder:</u>
The volume of the cylinder can be determined using the formula,

where r is the radius and h is the height of the cylinder.
Substituting π = 3.14, r = 4 and h = 9 in the above formula, we get;



Thus, the volume of the cylinder is 452.16 cm³
Hence, Option B is the correct answer.
0.800 rounded to the nearest tenth is0.8
When n = 1, 2(1) + 1 = 3
When n = 2, 2(2) + 1 = 5
When n = 3, 2(3) + 1 = 7
When n = 4, 2(4) + 1 = 9
When n = 5, 2(5) + 1 = 11
Sum = 3 + 5 + 7 + 9 + 11 = 35
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Answer: 35
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Given:
Polynomial is
.
To find:
The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.
Solution:
The sum of given polynomial and the square of the binomial (x-8) is

![[\because (a-b)^2=a^2-2ab+b^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2%5D)

On combining like terms, we get


Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is
.
The simplified expression of 32/5 x 3(-7/5) is -672/25
<h3>How to simplify the expression?</h3>
The mathematical expression is given as:
32/5 x 3(-7/5)
Evaluate the product of 3 and -7/5
32/5 x 3(-7/5) = 32/5 x -21/5
Evaluate the product of 32 and -21
32/5 x 3(-7/5) = 672/5 x -1/5
Evaluate the product of 5 and 5
32/5 x 3(-7/5) = 672/25 x -1
So, we have:
32/5 x 3(-7/5) = -672/25
Hence, the simplified expression of 32/5 x 3(-7/5) is -672/25
Read more about expressions at:
brainly.com/question/723406
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