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3 years ago

What is the ratio of the volume of the cone to the volume of the cylinder?

Mathematics

2 answers:

makkiz [27]3 years ago

8 0

Answer:

15/16

Step-by-step explanation:

In khan academy, you treat pi as a variable. I just ignore it usually tho.

For the cone you get 15 and for the cylinder you get 16 so 15/16

Alexandra [31]3 years ago

4 0

The ratio of the volume of the cone to the volume of the cylinder is - Ratio Answer =1:2:3

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I need some help with this calculus 1 question.

Cerrena [4.2K]

Answer:

(a) f'(1)=-4

(b) y+4x-4=0

Step-by-step explanation:

<u>Tangent Line of a Function</u>

Given f(x) a real differentiable function in x=a, the slope of the tangent line of the function in x=a is given by f'(x=a). Where f' is the first derivative of f.

We are given

$y=x-x^5$

The derivative is

$y'=1-5x^4$

(a) The slope of the tangent line at (1,0) is

$f'(1)=1-5\cdot 1^4=-4$

$f'(1)=-4$

(b) The equation of the tangent line can be found with the general formula of the line:

$y-y_o=m(x-x_o)$

Where m is the slope and the point (xo,yo) belongs to the line. We have m=-4, xo=1, yo=0, thus

$y-0=-4(x-1)$

Or, equivalently

$y+4x-4=0$

3 0

3 years ago

Ronald invested $68160 for 8 years and earned 6.2% interest compounded annually

erastova [34]

Answer:

He earned 110287.3536 dollars

6 0

3 years ago

X=3 is a factor of x^3+3x^2-7x+19.

Andrew [12]

Answer:

Step-by-step explanation:

3^3+3(3)^2-7(3)+19

27+27-21+19

54-2

Hope this helps

7 0

4 years ago

Tammi deposited $520 into a bank account that earned simple interest each year. After 5 years, she had earned $156 in interest.

Sveta_85 [38]

Answer:

Step-by-step explanation:

Interest = Principal * rate * time

156 = 520(r)(5)

156 = 2600r

r = 0.06 or 6%

6 0

3 years ago

Read 2 more answers

Find the standard form of the equation for the circle with the following properties.

nataly862011 [7]

Answer:

$(x+6)^2+(y+\frac{7}{6})^2=\frac{49}{36}$

Step-by-step explanation:

So, we know that the center of the circle is at (-6, -7/6).

To find the equation of our circle that is tangent to the x-axis, we just need to find the vertical distance from our center to the x-axis.

Our center is at (-6, -7/6). The vertical distance from this to the x-axis directly above will be (-6, 0).

So, find our distance by subtracting our x-values:

$d=r=0-(-7/6)$

Subtract:

$d=r=7/6$

So, our distance, which is also our radius, will be 7/6.

Now, we can use the standard form for a circle, which is:

$(x-h)^2+(y-k)^2=r^2$

Where (h, k) is the center and r is the radius.

Substitute -6 for h, -7/6 for k, and 7/6 for r. This yields:

$(x+6)^2+(y+\frac{7}{6})^2=\frac{49}{36}$

We can confirm by graphing (using a calculator):

7 0

3 years ago