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Lisa [10]
3 years ago
5

The formula v=r2h gives the volume of a cylinder with a radius r and height h. Find the volume of cylinder with radius (x+4) cm

and height 5 cm. Write your answer in standard form.
Mathematics
1 answer:
yawa3891 [41]3 years ago
3 0

Answer:

The answer to your question is: V = 5x² + 40x + 80

Step-by-step explanation:

Formula = V = r²h

r = x + 4

h = 5

Substitution

V = (x + 4 )² 5                      

V = (x² + 8x + 16)5               expand

V= 5x² + 40x + 80                simplify

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A piece of wood is divided into two pieces in the ratio of 2:5. One piece is 10 cm long so how long is the other piece?
klio [65]

Answer:

The length of the pother piece of the wood is 25 cm.

Step-by-step explanation:

Let the length of a piece of wood is x such that the ratio of two pieces is 2:5. Two pieces are 2x and 5 x

Length of the first piece is 10 cm. It means, 2x = 10 i.e. x = 5

We have considered that the length of other piece is 5x. It means 5×5 = 25 cm.

Hence, the length of the pother piece of the wood is 25 cm

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Answer:

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Step-by-step explanation:

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3 years ago
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Determine the equation of the circle graphed below. <br><br> ( please help me )
Brums [2.3K]

Answer:

Equation : \\(x+3)^2 + ( y -2)^2 = 36

Step-by-step explanation:

For standard form the circle's equation we need the centre of the circle and the radius.

Step 1: <em><u>Find the centre</u></em>

If the centre is not given find the end points of the diameter

and then find the mid point.

Let the end points of the diameter be : ( - 3 , 8 ) and ( -3 , -4 )

The mid-point of the diameter is :

                        Mid-point = (\frac{-3 + - 3}{2}, \frac{-4+8}{2}) =  (-3, 2)

Therefore, centre of the circle = ( -3 , 2 )

Step 2 : <u>Find radius</u>

<u></u>Radius = \frac{Diameter }{2}<u></u>

Diameter is the distance between the end points ( -3 , 8) and ( -3 , -4 )

That is ,

 Diameter = \sqrt{(-3-(-3))^2 + ( -4 -8)^2}\\

                 = \sqrt{(-3 + 3)^2 + (-12)^2}\\\\=\sqrt{0 + 144}\\\\=12

Therefore ,

       Radius = \frac{12}{2} = 6

Step 3 : <u>Equation of the circle</u>

Standard equation of the circle with centre ( h ,k )

and radius ,r is :

       (x - h)^2+(y -k)^2 = r^2

Therefore, the equation of the circle with centre ( -3, 2)

and radius = 6 is :

    (x - (-3))^2 +  (y - 2)^2 = 6^2\\\\(x + 3)^2 + (y - 2)^2 = 36

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2 years ago
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Answer:

WHEN YOU

Step-by-step explanation:

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