Question

Volume (cm³)

30000
20000
10000
0
(5, 524)
10
(15, 14137)
(11,5575.3)
20
Radius (cm)
The function V gives the volume of a balloon, in cubic centimeters, as a function of its radius r, in centimeters.
Consider the graph of function V. What does V(15) = 14137 cm³ represent in this situation?
The radius of the balloon is 14,137 cm³ when the centimeters is 15 cm.
The centimeters of the balloon is 15 cm when the volume is 14137 cm³.
O The volume of the balloon is 15 cm when the radius is 14137 cm³.
O The volume of the balloon is 14,137 cm³ when the radius is 15 cm.

Answer 1

The volume of the balloon is 14,137 cm³ when the radius is 15 cm. Option D is correct.

The graph represents the volume of Ballon as a function of the radius.

Any pair of point (x, y) would represent the volume of Ballon (y) for a given value of radius (x).

Using the format of the graphed function : V(X) = Y

Comparing with the equation given:

• V(15) = 14137

The X, Y pair is : (15, 14137)

Hence, for the pair of point given (15, 14137), It gives the volume of ballon when the value of the radius is 15 cm.

Hence, the V(15) = 14137 represents; The volume of the balloon is 14,137 cm³ when the radius is 15 cm.

Therefore, option D is correct.