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12345 [234]
3 years ago
6

In a museum there is a sculpture in the shape of a cylinder the cylinder has a diameter of 12 feet and a height of h feet which

equation can be used to find v the volume of the cylinder in cubic feet
Mathematics
2 answers:
olga2289 [7]3 years ago
7 0

Answer:

V=36 \pi h\ ft^{3}

Step-by-step explanation:

we know that

The volume of a cylinder (sculpture) is equal to

V=\pi r^{2}H

In this problem we have

r=12/2=6\ ft ----> the radius is half the diameter

H=h\ ft

substitute the values

V=\pi (6^{2})(h)=36 \pi h\ ft^{3}

julia-pushkina [17]3 years ago
3 0

Answer:

36πh cubic feet

Step-by-step explanation:

To find the volume of a cylinder  with a diameter of 12 feet and a height of h feet, we must know the formula for finding the volume of  a cylinder.

The volume V of a cylinder with a radius r and a height h is given as

V = πR^2h

where π = 22/7

Given that the radius of the given cylinder is 12 feet, the radius r

= 12/2 feet

= 6 feet

The volume v

= π * 6^2 * h

= 36πh cubic feet

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Answer:

28/45

Step-by-step explanation:

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3 years ago
Adam graphs a quadratic function. The vertex of his parabola is (5,0). What is his axis of symmetry
Sloan [31]

Answer:

x=5

this is because the axis of symmetry is where the parabola is symmetric, so it would be 5 because that's the x value of the vertex

4 0
4 years ago
A go-cart racetrack has 100-meter straightaways and semicircular ends with diameters of 40 meters. Calculate the average speed i
emmainna [20.7K]

Answer:

Average speed of go cart is 217.07 meters per minute.

Step-by-step explanation:

We are given the following in the question:

Length of straightway racetrack = 100 m

Diameter of  semicircular end = 40 m

Radius =

r = \dfrac{d}{2} = \dfrac{40}{2} = 20\text{ m}

Perimeter of racetrack =

Perimeter of semicircle + 2(Length of straightway) + Perimeter of semicircle

=\pi r + 2(100) + \pi r\\=2\pi r + 2(200)\\=(2\times 3.14\times 20) + 200\\=325.6\text{ m}

Speed =

s = \dfrac{\text{Distance}}{\text{Time}}\\\\s = \dfrac{4\times \text{Perimeter of track}}{6}\\\\s = \dfrac{4\times 325.6}{6}\\\\s = 217.06\text{ meter per minute}

Thus, average speed of go cart is 217.07 meters per minute.

4 0
3 years ago
A store owner received 18 cases of soda. Each case has 24 cans of soda. The owner sells each can for $0.60. Which number sentenc
Radda [10]

Answer:

Total money get from soda cans = $259.2

Step-by-step explanation:

Given:

Number of soda cases = 18

Number of soda can in each case = 24

Price of each soda can = $0.60

Find:

Total money get from soda cans

Computation:

Total money get from soda cans = Number of soda cases x Number of soda can in each case x Price of each soda can

Total money get from soda cans = 18 x 24 x 0.60

Total money get from soda cans = $259.2

8 0
3 years ago
Use a number line to compare the numbers. Which shows the correct symbol to compare the numbers? 1.2 1 1/5
Leno4ka [110]

For this case we must compare the following expressions:

1.2\\1 \frac {1} {5}

We convert the mixed number to a fraction:

1 \frac {1} {5} = \frac {5 * 1 + 1} {5} = \frac {5 + 1} {5} = \frac {6} {5} = 1.2

So, we have to compare:

1.2 and 1.2

It is observed that the expressions are equal, so we have the sign of equality "=":

1.2 = 1.2

Answer:

1.2 = 1.2

6 0
3 years ago
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