Mathematics, 31.03.2020 19:46 longoriafaithe09

A sphere has a radius of 6 inches. What is the volume of the sphere in terms of π?

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Answer from: georgesarkes12

The volume of sphere in terms of $\pi$ is 288 $\pi$ cubic inches, if the sphere has a radius of 6 inches.

Step-by-step explanation:

The given is,

A sphere has a radius of 6 inches

Step:1

Formula for volume of sphere is,

$Volume, V =\frac{4}{3}\pi r^{3}$ ...........................(1)

where, r - radius of sphere

From given,

r - 6 inches

Equation (1) becomes,

$= \frac{4}{3}\pi (6)^{3}$

= $\frac{4}{3} \pi(216)$ ( ∵ $6^{3}$ = 6×6×6 =216 )

= $(1.3333)\pi (216)$

( The volume of the sphere in terms of π, So keep the value of $\pi$ )

= 288 $\pi$

= 288 $\pi$ Cubic inches

Volume of sphere, V = 288 $\pi$ Cubic inches

Result:

The volume of sphere in terms of $\pi$ is 288 $\pi$ cubic inches, if the sphere has a radius of 6 inches.

Answer from: Quest

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b): y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4 perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

Which equation represents a line perpendicular to the line shown on the graph?

Answer from: Quest

in the math equation 8 x 7 = 56, the 8 and the 7 are both factors of 56, since in this lesson we will use square tiles to figure out the factors of a whole find as many different arrays as you can, but follow one important rule: all the rows must have the i can make two rows of nine, so 2 and 9 are both factors of 18.

step-by-step explanation:

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