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Darina [25.2K]
3 years ago
15

A cylinder with a height of 4 inches (in.) and a radius of 2 inches is shown. What is the volume of the cylinder, in ? (Use 3.14

for .) *
Mathematics
1 answer:
saw5 [17]3 years ago
3 0

Answer:

50.24 cubic inches

Step-by-step explanation:

The formula for the volume of a cylinder is \pi r^2 h. Plugging in the numbers given, you get 3.14\cdot 2^2\cdot 4=3.14\cdot 16=50.24 cubic inches. Hope this helps!

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A farmer has a 100 ft by 200 ft rectangular field that he wants to increase by 15.5% by cultivating a strip of uniform width aro
Advocard [28]

Answer:

(a) The strip should be 5ft wide

(b) The strip around the outside field is 10ft wide.

Step-by-step explanation:

Given:

Length of the rectangular field, L= 200 ft

width of the rectangular field, w = 100 ft

Area of the rectangular field, A = 200ft x 100ft = 20000 ft^2

let the width of the strip = x

The strip around the outside field = 2x

If the field is increased by 15.5%

New area of the field = 1.155 x 20000 = 23,100 ft^2

The increase in area of the field = 3,100 ft

3,100 = New area of field - old area of the field

3100 = (200 + 2x)(100 + 2x) - 20000

3100 = 20000 + 400x 200x + 4x^2 - 20000

3100 = 600x + 4x^2

Divide through by 4

775 = 150x + x^2

x^2 + 150x - 775 = 0

Factorize

(x + 155)(x-5) = 0

x = 5 ft

The strip should be 5ft wide.

The strip around the outside field = 2 x 5 ft = 10 ft

Thus, the strip around the outside field is 10ft wide.

3 0
3 years ago
PLEASE HELP !!!!!!<br><br> find the missing number on the number line
Bogdan [553]
8 because the line is going up by 1 as seen from 4 and 6
4 0
2 years ago
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A sum of money is divided between A,B and C in the ratio 9:8:7. If the total sum of money shared is 480. How much money does A r
mr Goodwill [35]

Given:

A sum of money is divided between A,B and C in the ratio 9:8:7.

Total sum is 480.

To find:

The part of money A get.

Solution:

Let A, B and C get 9x, 8x and 7x respectively.

Total sum is 480.

9x+8x+7x=480

24x=480

Divide both sides by 24.

x=\dfrac{480}{24}

x=20

Now,

A\ get =9x

A\ get =9(20)

A\ get =180

Therefore, amount received by A is 180.

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3 years ago
What is the value of y?
sergij07 [2.7K]
Find TU with Pythagorean theorem:
TU=√6²-3²=√36-9=√27=3√3
Now you can find y:
y=√TU²+9²=√27+81=√108=6√3
3 0
3 years ago
Addison studies a tarantula that is 30 mm long suppose she uses a microscope to magnify the spider by 4×10 to the second power h
Debora [2.8K]
The magnification factor is given as 4(10)^2=400. Therefore multiplying this by the spider's actual length will give its apparent length.(400)(30 mm) = 12,000This gives an apparent length of 12,000 mm.
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3 years ago
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