This sphere has a diameter of 5 m.

A sphere with diameter 5 meters.

What is the volume of the sphere?
V = StartFraction 9 Over 2 EndFraction pi m3
V = StartFraction 125 Over 6 Endfraction pi m3
V = StartFraction 500 Over 3 EndFraction pi m3
V = StartFraction 4,000 Over 3 EndFraction m3

V =  

Step-by-step explanation:

The volume of a sphere can be calculated by using the formula:

V =  

The diameter is given:

d = 5 m

The radius is half of that:

r = 2.5 m

Now, we can use the formula to find the volume of the sphere:

V =

V =

V =

V =  

Second: V = StartFraction 125 Over 6 Endfraction pi m3

Step-by-step explanation:

Radius = 5/2

Volume is sphere:

(4/3) × pi × r³

(4/3) × (5/2)³ × pi

(4/3)(125/8)pi

125/6 pi.

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step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: