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slava [35]
3 years ago
14

Container A is cylinder with a radius of 10 units and a height of 10 units. A right cone has been carved from its base and has a

height of 10 units. Container B has the same radius as container A. Which statement derives the formula to find the volume of container B?
1 over 3π(102)(10) − π (102)(10)

2[1 over 3π(102)(10) − π(102)(10)]

π(102)(10) − 1 over 3π(102)(10)

2[π(102)(10) − 1 over 3π(102)(10)]
Mathematics
1 answer:
sergij07 [2.7K]3 years ago
7 0

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

From the information given,

Height = 10 units

Radius = 10 units

Volume = π × 10² × 10

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

Height = 10 units

Base = 10 units

Volume = 1/3 × π × 10² × 10

Since the cone has been carved from the cylinder, the statement that derives the formula to find the volume of container B is

π × 10² × 10 - 1/3 × π × 10² × 10

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28.                            THATS THE CORRECT ANSWER

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(X^4)-(45x^2)+324 what are the zeroes? And how many turning points?
dmitriy555 [2]

Zeroes:

We must solve

x^4-45x^2+324=0

To do so, we define the auxiliary variable t=x^2. The equation becomes

t^2-45t+324=0

The quadratic formula yields the solutions

t=9,\quad t=36

Substituting back t=x^2 gives

x^2=9 \iff x=\pm 3,\quad x^2=36 \iff x=\pm 6

So, the zeroes are -6, -3, 3, 6.

Turning points:

Turning points are points where a function stops being increasing to become decreasing, or vice versa. Since functions are increasing when their first derivative is positive and decreasing when it's negative, turning points are points where the first derivative is zero.

We have

f(x)=x^4-45x^2+324 \implies f'(x)=4x^3-90x

If we set the derivative to be zero, we have

4x^3-90x=0 \iff x(4x^2-90)=0

So, the derivative is zero if x=0 or

4x^2=90 \iff 2x^2=45 \iff x^2=\dfrac{45}{2}\iff x=\pm\sqrt{\dfrac{45}{2}}

6 0
3 years ago
Minas time for running the mile 9.4 minutes. If her friends ran the mile in 11.02 minutes, how much faster was Mina?
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First you would subtract Minas friends mile time from Minas mile time.
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3 years ago
Please help me with this math question!!!!!
astraxan [27]

Answer:

60

Step-by-step explanation:

7x+30+9x+42=104

16x+72=104

16x=104-72

16x=32

x=2

SO:

<BOC=9x+42=

9(2)+42=

18+42=

60

7 0
3 years ago
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