MATHEMATICS MIDDLE SCHOOL

A cylinder has a radius of 10 m and a height of 8 m. What is the exact volume of the cylinder? A.
18π m3

B.
800π m3

C.
80π m3

D.
160π m3
Would it be B.800π m3

Answers

Answer 1
Answer:

Answer:

Option B is correct

the exact volume of the cylinder is given by:

800 \pi m^3

Step-by-step explanation:

Volume of a cylinder(V) is given by:

V= \pi r^2h         .....[1]

where, r is the radius and h is the height of the cylinder respectively.

As per the statement:

A cylinder has a radius of 10 m and a height of 8 m

⇒ r= 10 m and h = 8 m

substitute these in [1] we have;

V = \pi 10^2 \cdot 8 = \pi \cdot 100 \cdot 8 = 800 \pi m^3

Therefore, the exact volume of the cylinder is given by:

800 \pi m^3
Answer 2
Answer: Volume\ of\ cylinder=\pi\ radius^2 * height\n\nVolume= \pi\ *10^2*8=800 \pi\n\nSolution \ is \ B

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Write an expression that equals 24. Include an exponent.

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Does the answer require only an exponent?

find the equation in slope-intercept form that descrives a line through (4,-2) with slope -3 A. y = -3x - 2 B. y = -3 x + 4 C. y = -3x + 10 D. y = -3x​

Answers

Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

So far we know the slope and can plug that into the equation like so...

y = -3x + b

 

Now we must find b

To do that you must plug in the point the line goes through in the x and y of the equation.

(4, -2)

-2 = -3(4) + b

-2 = -12 + b

10 = b

y = -3x + 10

Hope this helped!

~Just a girl in love with Shawn Mendes

Question 1: 3/4n+16=2-1/8n. Show work plzz for all i need help due tomorrow!!!Question 2: 4(x-2)=4x
Question 3: 6=3+5(y-2)
Question 4: 2(x-3)+5=3(x-1
Question 5: 18-3.8x=7.36-1.9x
Question 6: 1.03x-4=-2.15x+8.72
Question 7: 5-1/2(b-6)=4
Question 8: -3(2n-5)=1/2(12n+30)
Plz help i know only 10 points not enough but i need help with these !!! Show work ALL

Answers

1) Multiply everything by 8. It clears the fractions.
 It gives you 6n + 128 =16 - n
You add the -n to the other side of the equation.
It gives you 7n + 128= 16
You then subtract 128 from 16.
It gives you 7n= -112
You divide everything by 7
It gives you n=-17

It cost $520 to plant 4 acres of corn. How much would it cost to plant 3/5 acre of corn?

Answers

Importance should be given to all the informations that are already given in the question. based on those information's, the answer to the question can be easily determined.
The cost of planting 4 acres of corn = 520 dollars
Then
the cost of planting 1 acre of corn = (520/4) dollars
                                                       = 130 dollars
So
The cost of planting 3/5 acres of corn = (3/5) * 130 dollars
                                                             = 3 * 26 dollars
                                                             = 78 dollars
So the cost of planting 3/5 acre of corn is $78. I hope the procedure is clear enough for you to understand. You can always use this method in future for solving similar type of problems without requiring any help from outside.
$455
 520 / 4 = 130 / 2 = 65 

130 x 3 = 390 + 65 = 455

Simplify.
6(3x - 5) + 2(3x - 5) - 8(3x - 5)

Answers

Answer:

0 is the correct answer

Step-by-step explanation:

Distribute the 6, 2, and -8 to get 18x - 30 + 6x - 10 - 24x + 40, which combines to 0.
The way to simplify this is so combine like terms. Do the equation in the bracket but leave the variable (3x - 5) = (- 2x) So now the equation looks like this: 6(-2x) + 2(- 2x) + 8(- 2x) And now you do the multiplication, but still leave the variable 6(- 2x) = (- 12x) Now the equation is: (- 12x) + (- 4x) - (- 16x)

Hope this helped

help me wit these 3 questions plz.

A cone has a base radius of 7 centimeters and a height of 21 centimeters.

 

What is the volume of the cone?

        A.

28π cm3

      B.

49π cm3

      C.

147π cm3

      D.

343π cm3

Answers

1. Cone

r=7cm
h=21cm

V= (\pi*r^2*h)/(3)=(\pi*7^2*21)/(3)=7^2*7*\pi=7^3\pi=343{\pi}cm^3

Answer: D

2. Cylinder

r=5ft
h=16ft

V= \pi*r^2*h=\pi*5^2*16=25*16\pi=400\pi ft^3

Answer: A

3.Pyramid

In this case it will be

V= (a*b*h)/(3)

a=9ft
b=4ft
h=12ft

V= (4*9*12)/(3)=4*3*12=144 ft^3

Answer: B
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