Question

У мензурку циліндричної форми внутрішній діаметр якої 10 см опустили металеву деталь. при цьому рівень води в мензурці піднявся на 6см. обчисліть обєм деталі

Answer 1

V = πD^2 : 4 * h
V = 3,14 * 10^2 : 4 * 6 = 3,14 * 150 = 471 см^2

Answer 2

Calculation of the Volume of the Metal Part

To calculate the volume of the metal part, we can use the principle of displacement. When the metal part is submerged in the cylindrical measuring cylinder, it displaces an amount of water equal to its own volume.

Given: - Inner diameter of the measuring cylinder = 10 cm - Rise in the water level = 6 cm

To calculate the volume of the metal part, we can use the formula for the volume of a cylinder:

Volume of the metal part = π * r^2 * h

Where: - π is a mathematical constant approximately equal to 3.14159 - r is the radius of the measuring cylinder, which is half of the diameter (5 cm) - h is the rise in the water level (6 cm)

Substituting the values into the formula, we get:

Volume of the metal part = 3.14159 * (5 cm)^2 * 6 cm

Calculating this expression, we find:

Volume of the metal part = 471.23895 cm^3

Therefore, the volume of the metal part is approximately 471.24 cm^3.