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4 years ago

Volume of a cylinder with a diameter of 6 inches and a height that is three times the radius

Mathematics

2 answers:

Harlamova29_29 [7]4 years ago

8 0

Answer:

254.47 i think

Step-by-step explanation:

Elis [28]4 years ago

3 0

Answer: 254.47 cubic inches

Step-by-step explanation:

You are told that d = 6 so since the radius is half the diameter, r = 3. Use this to find h: h is 3 times the radius so h = 3 times 3 = 9. Now use the formula for the volume of a cylinder and plug in these values:

V = pi r^2 h

V = pi (3)^2 (9) = 81pi = 254.47 cubic inches

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Given that lim x → 2 f ( x ) = 1 lim x → 2 g ( x ) = − 4 lim x → 2 h ( x ) = 0 limx→2f(x)=1 limx→2g(x)=-4 limx→2h(x)=0, find the

VashaNatasha [74]

Answer:

According what I can read, I have the following statements:

$\lim_{x \to 2} f(x) = 1$

$\lim_{x \to 2} g(x) = -4$

$\lim_{x \to 2} h(x) = 0$

a) Applying properties of limits

$\lim_{x \to 2} f(x) + 5g(x) = \lim_{x \to 2} f(x) + 5 \lim_{x \to 2} g(x) = 1 + 5*-4 = -19$

b) Applying properties of limits

$\lim_{x \to 2} g(x)^{3} = {(\lim_{x \to 2} g(x))}^{3} = (-4)^{3} = -64$

c) Applying properties of limits

$\lim_{x \to 2} \sqrt{f(x)} = \sqrt{\lim_{x \to 2} f(x)} = \sqrt{1} = 1$

d) Applying properties of limits

$\lim_{x \to 2} 4*g(x)*f(x) = 4*\lim_{x \to 2} g(x)*\lim_{x \to 2} f(x) = 4*-4*1 =-16$

e) Applying properties of limits

$\lim_{x \to 2} g(x)*h(x) = \lim_{x \to 2} g(x)*\lim_{x \to 2} h(x) = -4*0 =0$

f) Applying properties of limits

$\lim_{x \to 2} g(x)*h(x)*f(x) = \lim_{x \to 2} g(x)*\lim_{x \to 2} h(x)*\lim_{x \to 2} f(x = -4*0*1 =0$

3 0

3 years ago

Mr. Jordan has 13 ponies. Each of his ponies eats 26 pounds of food each day.

Elina [12.6K]

The answer is A. 338 pounds.

5 0

3 years ago

Read 2 more answers

From least to greatest, what are the possible measures of angle b? round to the nearest whole number.

Maru [420]

The answer to this is 42 degrees and 138 degrees.

8 0

3 years ago

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James has decided to start saving for a cruise over the summer. His money is currently in the local bank modeled by the function

IgorLugansk [536]

Answer:

s ( x ) = 102, a ( x ) = 8 ( x + 2 )

A function that combines the two:

f ( x ) = s ( x ) + a ( x ) = 102 + 8 ( x + 2 ) =

= 102 + 8 x + 16

final answer : f ( x ) = 8 x + 118

7 0

3 years ago

Write an equation in point-slope form of the line that passes through the given point and has the given slope. (3, –8); m = –5

Paraphin [41]

Answer:

y+8=-5(x-3)

Step-by-step explanation:

The formula for point-slope form is y-y1=m(x-x1)

The points for (x1, y1) are (3, -8), meaning that 3 is x1 and -8 is y1.

So, start by writing your equation like this: y--8=m(x-3)

For the equation y--8=m(x-3), the y--8 will change to a + sign because two negatives make a positive, right? So, the equation should now look like this: y+8=m(x-3).

We know that the slope (m) is -5. Plug that into the equation to get this: y+8=-5(x-3)

And there you have it!! The equation is now in point-slope form!!

y+8=-5(x-3) is the final answer!!

Hope that helps you!! Please give me brainliest!!

7 0

3 years ago