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e-lub [12.9K]
3 years ago
8

What is the volume of a cylinder with base radius 4 and height 5?

Mathematics
1 answer:
Jobisdone [24]3 years ago
8 0

Answer:

251.2 units³ ; 80π units³

Step-by-step explanation:

Volume of a Cylinder is: V=\pi r^2 h

'r' is the radius.

'h' is he height.  

The cylinder has a base radius of 4 units and the height 5 units.

<h3>Using 3.14 for Pi:</h3>

V=3.14*4^2*5\\V=3.14*16*5\\V= 50.24 * 5\\\boxed {V=251.2}

The approximate volume is 251.2 units³.

<h3>In terms of pi:</h3>

V=\pi 4^2*5\\\rightarrow 4^2=16\\V=\pi 16*5\\V=\pi 80\\\boxed {V=80\pi}

The exact volume is 80π units³.

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jarptica [38.1K]

Answer:

3 gallons

Step-by-step explanation:

Let

x ----> the amount of pure acid (100% solution) in gallons

Remember that

100\%=100/100=1

20\%=20/100=0.20

60\%=60/100=0.60

we know that

(1)(x)+(0.20)(3)=(0.60)(x+3)

solve for x

x+0.60=0.60x+1.80

x-0.60x=1.80-0.60\\0.40x=1.20\\x=3\ gal

therefore

3 gallons of pure acid should be mixed with 3 gallons of a 20% acid solution in  order to get a 60% acid solution

7 0
3 years ago
Find the area of the triangle with b = 7 in h= 5.5 in
melamori03 [73]

Answer:

19.25

Step-by-step explanation:

To find the area of a triangle, multiply the base by the height, and then divide by 2.

8 0
3 years ago
What is 9/11 +2/3 and show the work
erica [24]

Answer:

9/11 = 27/33

2/3 = 22/33

27/33 + 22/33 = 49/33

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A museum groundskeeper is creating a semicircular statuary garden with a diameter of 23 feet. There will
Helga [31]

Answer: $443.32

Step-by-step explanation:

Hi, to answer this question we have to calculate perimeter of a semicircle:

P = π (d/2) + d

Where d is the diameter

Replacing with the values given:

P = 3.14 (23/2) + 23 = 59.11 feet  

Since each linear foot cost $7.50, we have to multiply that cost by the perimeter.

59.11 x 7.50 = $443.32

Feel free to ask for more if needed or if you did not understand something.

3 0
3 years ago
1 point
Levart [38]

Answer:

23.00

Step-by-step explanation:

If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total including tip. If you want to leave a 18% tip, multiply the cost by 0.18 to get the tip amount or multiply the cost by 1.18 to get the total including tip.

4 0
3 years ago
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