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Delvig [45]
2 years ago
10

The volume V​ (in cubic feet) of a right cylinder with a height of 6 feet and radius r (in feet) is given by V=6πr2​ . Solve the

formula for r​ . Then find the radius of the cylinder when the volume is 1206 cubic feet. Round your answer to the whole number.
Mathematics
1 answer:
Zinaida [17]2 years ago
5 0

Answer:

a) r = √V/6π

b) r = 8 inches

Step-by-step explanation:

a) The volume V​ (in cubic feet) of a right cylinder with a height of 6 feet and radius r (in feet) is given by V=6πr2​ . Solve the formula for r​ .

Solving for r means making r the subject of the formula

= V=6πr²

Divide both side by 6π

V/6π = 6πr²/6π

r² = V/6π

r = √V/6π

b) Then find the radius of the cylinder when the volume is 1206 cubic feet. Round your answer to the whole number.

r = √V/6π

V = 1206 ft³

r = √1206/6π

r = √(63.98028712294193)

r = 7.9987678503 inches

Approximately r = 8 inches

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Sonbull [250]

Given,

Side = 7 cm

We know that,

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3 0
3 years ago
Which functions are symmetric with respect to the origin?
Damm [24]

Answer:

The correct option is;

y = arcsinx and y = arctanx

Step-by-step explanation:

The given options are;

1) y = arcsinx and y = arccosx

Here, we have at the origin, where x = 0,  arccosx ≈ 1.57 while arcsinx = 0

Therefore arccosx does not intersect arcsinx at the origin for it to be symmetrical to arcsinx or the origin

2)  y = arccosxy and y = arctanx

Here arctanx = 0 when x = 0 and arcos x = 1.57 when x = 0 therefore, they are not symmetrical

3) y = arctanx and y = arccotx

Similarly, At x = 0, arccotx = 1.57 therefore, they are not symmetrical

4) y = arcsinx and y = arctanx

Both functions arcsinx and arctanx pass through the origin and their shapes are similar but inverted as they go from negative to positive.

3 0
3 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.
inna [77]

The 3 inside angles of a triangle need to equal 180 degrees.

Since you are given 2 angles, subtract both of those from 180 to find X.

X = 180 - 70 - 30 = 80 degrees.

X = 80

7 0
3 years ago
a pair of sneakers is on sale for $51 this is 75% of the original price, what is the original price of the shoes?
sertanlavr [38]
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8 0
3 years ago
5 hours 8 min - 3 hours 12 min
belka [17]
Hello,

Here is your answer:

The proper answer is "2.68".

First translate the question:

5 hours and 8 min=5.8

3 hours 12 min=3.12

Now subtract:

5.8-3.12=2.68

Your answer is 2.68!

If you need anymore help feel free to ask me!

Hop this helps!
6 0
3 years ago
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