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yuradex [85]
3 years ago
6

A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed

inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder?
Mathematics
1 answer:
Ede4ka [16]3 years ago
5 0
Vcylinder-vcone=vair

vcylinder=hpir^2
vcone=(1/3)hpir^2




vcylinder=16*pi*5^2=400pi
vcone=(1/3)12*pi*4^2=64pi

vylinder-cone=400pi-64pi=336pi

volume is 336pi cubic centimeters or aprox 1055.5 cubic cm
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Which equation is true?
enot [183]
Lets solve all of these:-

#1

√361 = 361 · 2
         
         ?
√361 = 361 · 2
√361 = 19
361 · 2 = 722

19 ≠ 722
So this equation is not true

#2:-

√361 = 19²

         ?
√361 = 19²
√361= 19
19² = 19 · 19 = 361

19 ≠ 361
So this equation is not true

√361 = 361 ÷ 2 

         ?
√361 = 361 ÷ 2 
√361 = 19
361 ÷ 2 = 180.5

√361 ≠ 361 ÷ 2 
So this equation is not true

√361 = √19²
√361 = 19
√19² = 19

19 = 19

SO the last one is right. Hope I helped ya!! xD
4 0
3 years ago
4f+d=answer?<br><br> F=4<br> D=8
Monica [59]

Answer:

4f+d (plug in the given values)

4(4)+8 (do the multiplication first because PEMDAS)

16+8 (add)

24

Step-by-step explanation:

8 0
3 years ago
Find the equation of a line parallel to 2x-2y=-4 that passes through the<br> point (3,9).
erastovalidia [21]

The line which is parallel to 2x-2y=-4 that passes through the

point (3,9) is x-y = -6.

Given that, 2x-2y = -4 passes through the point (3,9) then we have to find the equation of a line which is parallel to the given equation of line.

Let's proceed to find the equation of the line.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).

Using the slope-intercept formula, the equation of the line is:

y = mx + b

where,

m = the slope of the line

b = y-intercept of the line

(x, y) represent every point on the line

x and y have to be kept as the variables while applying the above formula.

2x-2y = -4

-2y = -4-2x

y = -4/-2 - 2x/-2

y = 2+x

y = x+2

On comparing with y = mx+b

m = 1 and b = 2

As the lines are parallel then the slope of other line will also be same i.e., m = 1

The point from which it is passes is (3,9)

⇒ x₁ = 3 and y₁ = 9

y-y₁ = m(x-x₁)

⇒ y-9 = 1(x-3)

⇒ y-9 = x-3

⇒ y = x-3+9

⇒ y = x+6

⇒ x-y = -6

Therefore, the line which is parallel to 2x-2y=-4 that passes through the

point (3,9) is x-y = -6.

Hence, x-y = -6 is the required answer.

Learn more in depth about similar problem at brainly.com/question/1884491

#SPJ1

7 0
1 year ago
8
masha68 [24]

Answer: Um It’s C?

Step-by-step explanation:

8 0
3 years ago
Write an equation of the line that passes through point (-1, 5) and has the slope<br> m = 4.
Juliette [100K]

Step-by-step explanation:

Given

Slope (m) = 4

Point ( -1 , 5)

Now the equation of line is

y - y1 = m ( x - x1)

y - 5 = 4 ( x + 1)

y - 5 = 4x + 4

4x + 4 - y + 5= 0

4x - y + 9 = 0

which is the required equation

6 0
3 years ago
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