Does anyone know how to answer this exercise?

Mathematics

1 answer:

neonofarm [45]2 years ago

8 0

Answer:

Step-by-step explanation:

The leftmost line segment has a slope of -2 and (-1,-1) is a point on the line.

Equation: y = -2x-3

middle line segment has a slope of 0 and y-intercept of -2.

Equation: y = -2

The rightmost line segment has a slope of 1.5. (5,0) is a point on the line.

y = 1.5(x-5) = 1.5x-7.5

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The diameter of a sphere is 12 inches.what is the volume of the sphere to the nearest cubic inch ?

miss Akunina [59]

Answer:

The volume of the sphere is 288π or 904.778 cubic inches.

Step-by-step explanation:

$given \\ diameter \: of \: sphere \: = 12 \: inches \\ radius \: of \: sphere \: = \frac{diameter}{2} \\ radius \: = \frac{12}{2} = 6 \: inches \\ volume \: of \: sphere \: = \frac{4}{3} \pi \: {r}^{3} \\ here \: r \: = \: 6 \: in \\ volume \: of \: sphere = \frac{4}{3} \pi \: {6}^{3} \\ \\ volume \: of \: sphere = \frac{4}{3} \pi \times 216 \\ \: \: = 4\pi \times 72 \\ \: \: = 288\pi \\ \: \: = 904.778 \: cubic \: inches$