PLEASE HELP A spherical balloon was inflated such that it had a diameter of 24 centimeters. Additional helium was then added to the balloon until it had a diameter of 36 centimeters.

Approximately what volume of additional helium was added to the balloon?

904 cm³

7235 cm³

17,190 cm³

24,429 cm³

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared