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Lapatulllka [165]
2 years ago
7

The diameter of the base of the cone measures 8 units.

Mathematics
1 answer:
kati45 [8]2 years ago
8 0

Answer:   32\pi cubic units.

Step-by-step explanation:

You can use this formula for calculate the volume of a cone:

V_{cone}=\frac{1}{3}\pi r^2h

Where "r" is the radius and "h" is the height.

You know that the diameter of the base of the cone measures 8 units, then, the radius can be found by dividing the diameter by 2:

r=\frac{8units}{2}\\\\r=4units

Since you already know that height and  the radius, you can substitute them into the formula. Then, the volume of this cone is:

V_{cone}=\frac{1}{3}\pi (4units)^2(6units)

V_{cone}=32\pi \ units^3

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5c+ 3 < 28 or -4c-2< 14 for c.
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Answer:

c<5, and  c>-4.

<u>Steps used for answers:</u>

5c+3<28 =

1. Subtract 3 from both sides.

5c<28-3

2. Simplify  28-3 to  25.

5c<25

3. Divide both sides by 5.

c<25/5

4. Simplify  25/5 to 5.

c<5

-----------------------

-4c-2<14 =

1. Add 2 to both sides.

-4c<14+2

2. Simplify  14+2 to 16.

-4c<16

3. Divide both sides by -4.

c>-16/4

4. Simplify 16/4 to 4.

c>−4

<u>Done by NeighborhoodDealer</u>

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