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Mathematics

2 answers:

goblinko [34]3 years ago

8 0

Answer:

The volume is 254.34

Step-by-step explanation:

If the cylinder has a diameter of 6 inches, then its radius would be 3 inches.

To know what the height of the cylinder is, the problem tells us that the height is three times the radius. 3 times 3 inches would be 9 inches.

Now we know that

r = 3 inches

h = 9 inches.

The formula to know the volume of a cylinder is:

V = πr²h

V = π(3)²(9)

V = π (9)(9)

V = 81π

V = 81 (3.14)

V = 254.34

Nitella [24]3 years ago

4 0

Radius is 3 in and height is 9 in. Volume is 3²×9π=81π=254.34 cu in.

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Solve the compound inequality 4x – 7 > 5 or 5x + 4 ≤ –6

bija089 [108]

Answer:

inequality form: x $\leq$ -2 or x > 3

interval notation form: (-∞,-2] ∪ (3,∞)

Step-by-step explanation:

I attached a picture that shows all the work. You begin by isolating then solving for x on both sides. Then form a solution using the information found out about x. For example, you can combine the found inequalities for x to solve that x must be GREATER than 3 while being LESS than -2. Using that you can form an line and make a line. Remember, when writing in interval notation form you always begin from the left to the right (in reference) to the number line.