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Vsevolod [243]
3 years ago
9

The volume of a cylinder is 980pi in3. The radius is 7 in. What is its height?

Mathematics
2 answers:
Dovator [93]3 years ago
7 0

Answer:

D) 20 in

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

Substituting what we know

980 pi = pi (7)^2 h

Divide each side by pi

980 pi /pi= pi 49 h/pi

980 = 49h

Divide each side by 49

980/49 = 49h/49

20 =h

poizon [28]3 years ago
3 0

Answer:

h ≈ 20 inches

Step-by-step explanation:

Given volume 980 pi inches cubed and radius 7 inches.

Using the height formula for right cylinder

h = V/π r^2

h = 3078.78/π7^2

h ≈ 20 inches

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a dime is dropped from a building at 1.024 ft . if the equation for height as a function of time is h(t)=-16t^2+ initial height
babunello [35]

Answer:

The dime hits the ground after 8 sec.

Step-by-step explanation:

Set h(t) = -16t^2 + h(0) equal to 0:  -16t^2 + 1,024 ft = 0, or:

16t^2 = 1,024 ft, or:

 t^2 =  64 ft^2

Then t = +8 sec

The dime hits the ground after 8 sec.

7 0
2 years ago
One number is 16 less than 4 times the second number. Their sum is 29. Find the numbers.
aleksklad [387]

Answer:

20,9

Step-by-step explanation:

this is how I did=x=1st, y=2nd; x=4y-16 and x+y=29; thus 4y-16+y=29; 5y-16=29; 5y=45; y=45/5=9, once you know y=9, put in equation, 4y-16=×, (4*9)-16=x, 36-16=x, 20=x

4 0
3 years ago
How many pints are in One 11/4 miles
Lostsunrise [7]

3.303e+13 that is approximately

7 0
3 years ago
Please help, i would rlly appreciate it ♥️.
Mrrafil [7]

Answer:

4/10 and 10/25

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
352 divided by 2 in long division please show work
baherus [9]

Step 1:

Start by setting it up with the divisor 2 on the left side and the dividend 352 on the right side like this:

2 ⟌ 3 5 2

Step 2:

The divisor (2) goes into the first digit of the dividend (3), 1 time(s). Therefore, put 1 on top:

1

2 ⟌ 3 5 2

Step 3:

Multiply the divisor by the result in the previous step (2 x 1 = 2) and write that answer below the dividend.

1

2 ⟌ 3 5 2

2

Step 4:

Subtract the result in the previous step from the first digit of the dividend (3 - 2 = 1) and write the answer below.

1

2 ⟌ 3 5 2

- 2

1

Step 5:

Move down the 2nd digit of the dividend (5) like this:

1

2 ⟌ 3 5 2

- 2

1 5

Step 6:

The divisor (2) goes into the bottom number (15), 7 time(s). Therefore, put 7 on top:

1 7

2 ⟌ 3 5 2

- 2

1 5

Step 7:

Multiply the divisor by the result in the previous step (2 x 7 = 14) and write that answer at the bottom:

1 7

2 ⟌ 3 5 2

- 2

1 5

1 4

Step 8:

Subtract the result in the previous step from the number written above it. (15 - 14 = 1) and write the answer at the bottom.

1 7

2 ⟌ 3 5 2

- 2

1 5

- 1 4

1

Step 9:

Move down the last digit of the dividend (2) like this:

1 7

2 ⟌ 3 5 2

- 2

1 5

- 1 4

1 2

Step 10:

The divisor (2) goes into the bottom number (12), 6 time(s). Therefore put 6 on top:

1 7 6

2 ⟌ 3 5 2

- 2

1 5

- 1 4

1 2

Step 11:

Multiply the divisor by the result in the previous step (2 x 6 = 12) and write the answer at the bottom:

1 7 6

2 ⟌ 3 5 2

- 2

1 5

- 1 4

1 2

1 2

Step 12:

Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom.

1 7 6

2 ⟌ 3 5 2

- 2

1 5

- 1 4

1 2

- 1 2

0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 352 divided by 2 calculated using Long Division is:

176

6 0
3 years ago
Read 2 more answers
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