A spherical ball has a radius of 1.5 in. Find the exact and approximate volumes of the ball. Use 3.14 for π and round to the nearest hundredth to find the approximate volume.

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V = 14.14in^3

Step-by-step explanation:

Use the formula V = 3/4πr^2 to get the volume of a sphere

Substitute r for 1.5 in

V = 3/4π(1.5)^2

V = 14.137166941154in^3

Round to the nearest hundredth to find the approximate volume

V = 14.14in^3

pla·gia·rism

/ˈplājəˌrizəm/

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noun

the practice of taking someone else's work or ideas and passing them off as one's own.

step-by-step explanation:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.