A jar, the volume of which is 630 cm 3 of water, which is seven tenths of the total volume of the jar.

A jar, the volume of which is 630 cm 3 of water, which is seven tenths of the total volume of the jar. Find the volume of water in the jar.

Let’s find the volume of a given jar by making and solving an equation with one unknown.

Let’s denote by v the volume of this jar.

In the condition of the problem it is said that 630 cm ^ 3 of water was poured into the jar and this volume of water is seven-ninths of the total volume of the jar, therefore, we can draw up the following equation:

(7/9) * x = 630.

We solve the resulting equation and find what the volume of this jar is equal to.

Multiplying both sides of the equation by the fraction 9/7, we get:

(9/7) * (7/9) * x = (9/7) * 630;

x = 9 * 630/7;

x = 9 * 90;

x = 810 cm ^ 3.

Answer: the volume of the can is 810 cm ^ 3.