Question

В цилиндрический сосуд налили 900 кубических см воды, далее воду полностью погрузили деталь и при этом уровень жидкости увеличится в 1,3 раза. Найдите объем детали ?

Answer 1

Объём тела, погруженного в жидкость,
равен объёму вытесненной жидкости.
900 х 1,3 = 1170 (см³) - объём воды с погруженной в неё деталью.
1170 - 900 = 270 (см³) - объём детали.
Ответ: 270 см³.

Answer 2

Problem Analysis

We are given a cylindrical vessel filled with 900 cubic centimeters of water. When a part is fully submerged in the water, the level of the liquid increases by a factor of 1.3. We need to find the volume of the part.

Solution

Let's assume the initial volume of the part is V cubic centimeters.

When the part is fully submerged, the volume of water displaced is equal to the volume of the part. According to the problem, the level of the liquid increases by a factor of 1.3. This means that the new volume of water is 1.3 times the initial volume of water.

We can set up the following equation to solve for the volume of the part:

900 + V = 1.3 * 900

Simplifying the equation:

V = 1.3 * 900 - 900

V = 1170 - 900

V = 270 cubic centimeters

Therefore, the volume of the part is 270 cubic centimeters.

Conclusion

The volume of the part is 270 cubic centimeters.