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Given a cube of side 6 cm immersed in a cylindrical jar with a base area of 120 cm², find the rise in the water level in the jar.

A. 1.5 cm
B. 2 cm
C. 2.5 cm
D. 3 cm

User PropoLis
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1 Answer

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Final answer:

To find the rise in the water level in the cylindrical jar, calculate the volume of the cube and the volume of the water displaced. Use the formula V = s^3 to find the volume of the cube. The volume of the water displaced is equal to the volume of the cube. Divide the volume of the water displaced by the base area to find the rise in the water level.

Step-by-step explanation:

To find the rise in the water level in the cylindrical jar, we need to calculate the volume of the cube and the volume of the water displaced by the cube.

The volume of the cube can be found by using the formula V = s^3, where s is the length of the side of the cube. In this case, s = 6 cm, so V = 6^3 = 216 cm^3.

The volume of the water displaced by the cube is equal to the volume of the cube, which is 216 cm^3. Since the base area of the cylindrical jar is 120 cm^2, the rise in the water level can be found by dividing the volume of the water displaced by the base area: rise = volume / base area = 216 cm^3 / 120 cm^2 = 1.8 cm. Therefore, the rise in the water level in the jar is approximately 1.8 cm.

User Anay Karnik
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