3 years ago

Determine the value of r so the line passing through each pair of points has the given slope

1 answer:

4 0

We can use the slope formula to solve this one:
$m=\frac{y_2-y_1}{x_2-x_1}$
$\frac{1}{2}=\frac{2-3}{r-6}$
$(r-6)=2(-1)$
$r-6=-2$
$r=4$

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the surface area of a sphere is 1,017.36 square inches.what is the volume of the sphere? use 3.14 for pi

emmasim [6.3K]

Answer:

Area = 254.34 inches ³

Step-by-step explanation:

The formula to find the surface area of a sphere is:

$SA = 4\pi r^{2}$

To find the volume of the sphere, we first need to figure out the radius ( $r$ ) of the sphere. We can accomplish this by reversing the formula that was used to find the surface area. $(1017.36 in^{2})$

$SA = 4\pi r^{2}$

$1017.36 = 4\pi r^{2}$

Divide both sides by pi ( $3.14$ ).

$1017.36 = 4\pi r^{2}$

$324 = 4 r^{2}$

Divide both sides by 4.

$324 = 4 r^{2}$

$81 = r^{2}\\$

Find the square root of both sides.

$81 = r^{2}\\$

$\sqrt{81} = r$

radius = 9

Insert the value of the radius into the formula for finding the volume of a sphere. $(A=\pi r^{2})$

$(A=\pi r^{2})$

$A=\pi (9)^{2}$

$A=\pi (81)$

$A = 254.34$

Area = 254.34 inches ³

~Hope this helps!~

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Rus_ich [418]

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