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Tcecarenko [31]
2 years ago
11

The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere. Wh

ich statement about the radius of the sphere is true
Mathematics
1 answer:
viktelen [127]2 years ago
5 0

Answer:

Radius of sphere is 3 units.

Step-by-step explanation:

Volume of sphere is given by 4/3 \pi r^3

surface area of sphere is given by 4 \pi r^2

where r is the radius of the sphere.

Given that

The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere.

we equate formula of Volume of sphere  and surface area of sphere

assuming r as the radius.

thus,

4/3 \pi r^3 = 4 \pi r^2\\\\4/3 \pi r^3/ 4 \pi r^2 = 1\\=>r/3 = 1\\=> r = 3

Thus, radius of sphere is 3 units.

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Answer:

\large\boxed{y=\dfrac{1}{2}x-3}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have two points (2, -2) and (4, -1).

Substitute:

m=\dfrac{-1-(-2)}{4-2}=\dfrac{-1+2}{2}=\dfrac{1}{2}

Put the value of a slope and the coordinates of the point (2, -2) to the equation of a line:

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-3=b\to b=-3

Finally:

y=\dfrac{1}{2}x-3

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