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2 years ago

A sphere has a volume of 36π in3. What is the radius of the sphere?

Mathematics

2 answers:

julsineya [31]2 years ago

8 0

Answer:

R=3

Step-by-step explanation:

amm18122 years ago

3 0

Answer:

r = 3 inches

Step-by-step explanation:

The formula for the volume of a sphere is the following:

V = (4π/3)r^3

You know the volume so plug that in for V:

36π = (4π/3)r^3

27 = r^3 (multiply by 3/4π to get r^3 by itself)

r = 3 (you take the cube root of r and 27 to get the value of r)

Hope this helps :)

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saul85 [17]

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2 years ago

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PLEASE HELP! What is the slope of the line that passes through the points below? (Enter your answer as a decimal if necessary.)

lozanna [386]

is the right answer.

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8 0

2 years ago

4x-6 + 2x = 18 What’s the answer

solmaris [256]

Answer:

x=4

Step-by-step explanation:

4x-6 + 2x = 18

Combine like terms

6x -6 = 18

Add 6 to each side

6x-6+6 =18+6

6x = 24

Divide each side by 6

6x/6 = 24/6

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6 0

3 years ago

Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 8y), (9, 1, 0)

Archy [21]

Answer:

x - 8y - z = 1

Step-by-step explanation:

Data provided according to the question is as follows

f(x,y) = z = ln(x - 8y)

Now the equation for the tangent plane to the surface

For z = f (x,y) at the point P $(x_0,y_0,z_0)$ is

$z - z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)\\$

Now the partial derivatives of f are

$f_x(x,y) = \frac{1}{x-8y} \\\\f_y(x,y) = \frac{8}{x-8y} \\\\P(x_0,y_0,z_0) = (9,1,0)\\\\f_z(9,1,0) = (\frac{1}{x-8y})_^{(9,1,0)}$

$\\\\=\frac{1}{9-8}$

= 1

Now

$f_y(9,1,0)=(\frac{8}{x-8y})_{(9,1,0)}\\\\ = -\frac{8}{9 - 8}$

= -8

So, the tangent equation is

$z - 0 = 1\times (x - 9) -8\times (y - 1)$

Now after solving this, the following equation arise

z = x - 9 - 8y + 8

z = x - 8y - 1

Therefore

x - 8y - z = 1

4 0

2 years ago

If f(x) = 3x^2 – x + 3, then what is the remainder when f(x) is divided by x + 7?

Anton [14]

Answer:

the remainder is -52

Step-by-step explanation:

3x²-x + 3

x+7÷ 3x² - x +3

the remainder is -52

5 0

3 years ago