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Phoenix [80]
3 years ago
7

Find the volume of the cylinder.

Mathematics
1 answer:
Georgia [21]3 years ago
6 0
<h3>Answer:</h3><h3>Exact volume = 32pi</h3><h3>Approximate volume =  100.48</h3>

The approximate volume only applies when pi = 3.14

Use either answer, but not both of course.

===============================================

Work Shown:

V = volume of cylinder

V = pi*r^2*h

V = pi*2^2*8

V = pi*32

V = 32pi .... exact volume in terms of pi

V = 32*3.14

V = 100.48 .... approximate volume when we use pi = 3.14

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A rectangular prism has a length of 4 1/4 in a width of 3 in, and a height of 1 1/4 in.
olchik [2.2K]

Answer:

4 1/4 × 3 × 1 1/4

Step-by-step explanation:

To find volume you need to do length×width×height

4 0
3 years ago
I need the angle measurements for each letter in this image
Blizzard [7]

Answer:

To find c you know that angles on a straight line equal 180° (supplementary angles). So 70+30+∠C=180.

Now we can solve this.

100+c=180.

Move the 100 over to the other side.

100-100+c=180-100

Simplify.

∠C=80°

Because we know that the two lines with double arrows are parallel, we can use the rule that alternate interior angles are congruent. This means that ∠E=70.

∠E=70°

Since the total sum of the angles in a triangle are equal to 180°, we know that ∠D+∠C+∠E=180. Because we already know ∠C and ∠E we can put those numbers in for them. 80°+70°+∠D=180°. Now we can solve this.

80+70+D=180

Simplify this.

150+D=180

Now we move the 150 over to the other side to get D by itself.

150-150+D=180-150

Simplify.

D=30

∠D=30°

Now we can find the vertical angle opposite ∠A by using the alternate interior angles rule again this time using the parallel lines with only one arrow on them. The vertical angle opposite ∠A=30°. Since vertical angles are congruent ∠A=30°.

∠A=30°

We are going to use the alternate angles rule one more time to solve for ∠B (this rule is very important when dealing with parallel lines), we could also use the corresponding angles rule but for simplicity we will just stick with the alternate angles rule. Because the vertical angle opposite ∠A is equal to 30°, we can see that the supplementary angle opposite ∠B=30°. Because this angle is supplementary with B we know that 30+B=180.Now we can solve this.

30+B=180

Now we move the 30 over to the other side.

30-30+B=180-30

Simplify.

B=150

∠B=150°

I hope this helps!

7 0
2 years ago
Read 2 more answers
Lawrence drives the same distance monday through Friday commuting to and from work. Last week Lawrence drove 25 miles on the wee
alexira [117]

Answer:

60 - 25 = 35

35 / 7 = 5

Lawrence drives 5 miles each day commuting to and from work.

8 0
3 years ago
Read 2 more answers
1.2x + 3.4=10.6<br> Please help
____ [38]
1.2x + 3.4 = 10.6
subtract 3.4 from each side
1.2x = 7.2
divide each side by 1.2
x = 6
5 0
3 years ago
Read 2 more answers
The scale of a map is 1in.:75km. Determine the distance between two towns that are 5.6 in. apart on the map.
sergeinik [125]

Answer:

420 km

Step-by-step explanation:

75 times 5 = 375

75/10 = 7.5 times 6 = 45

375 + 45 = 420

6 0
3 years ago
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