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3 years ago

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The equation above can be used to calculate the volume V, of a sphere with radius r. If the volume of a sphere is 288πcm3, what

is the radius of the sphere in centimeters? Select one: A. 13 B. 9 C. 16 D. 6

1 answer:

mylen [45]3 years ago

7 0

Answer:

Step-by-step explanation:

V=4/3πr^3

288πcm^3=4/3πr^3

288×3πcm^3=4/3πr^3

864πcm^3=4πr^3

r^3=216

r=6cm

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olya-2409 [2.1K]

Answer:

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Step-by-step explanation:

The equation of curve is

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We need to find the equation of the tangent line to the curve at the point (-3, 1).

Differentiate with respect to x.

$2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})$

$4(x^2+y^2)(2x+2y\frac{dy}{dx})=25(2x-2y\frac{dy}{dx})$

The point of tangency is (-3,1). It means the slope of tangent is $\frac{dy}{dx}_{(-3,1)}$ .

Substitute x=-3 and y=1 in the above equation.

$4((-3)^2+(1)^2)(2(-3)+2(1)\frac{dy}{dx})=25(2(-3)-2(1)\frac{dy}{dx})$

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$80\frac{dy}{dx}+50\frac{dy}{dx}=-150+240$

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Divide both sides by 130.

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If a line passes through a points $(x_1,y_1)$ with slope m, then the point slope form of the line is

$y-y_1=m(x-x_1)$

The slope of tangent line is $\frac{9}{13}$ and it passes through the point (-3,1). So, the equation of tangent is

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$y-1=\frac{9}{13}(x)+\frac{27}{13}$

Add 1 on both sides.

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Therefore, $m=\frac{9}{13}$ and $b=\frac{40}{13}$ .

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Stella [2.4K]

Hello!

$7d + 12 -4d -3\\$

Explanation:

↓↓↓↓↓↓↓↓↓↓↓

First this problem it should be the group like terms.

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You can also add or subtract by the numbers.

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Hope this helps!

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