Question

Скільки важить цилініндрична граніта основа діаметром 60 ми і вистою 20 см якщо 1м в 3 граніту важить 2700 кг?

Answer 1

Ответ: 101736 кг

Пошаговое объяснение:

Площа основи циліндра : S = пR² = 3,14 * 60 = 188,4 м²

Об* єм  дорівнює : V = Sосн. * h = 188,4 * 0,2 = 37,68 м³

        1м³  -  2700 кг

37,68 м³  -  х кг

х = 37,68 * 2700 = 101736 кг важить цилініндрична гранітна основа

Answer 2

Calculating the weight of a cylindrical granite base

To calculate the weight of the cylindrical granite base described in the question, we will:

1. Calculate the volume of the cylinder 2. Determine the density of granite 3. Calculate the weight by multiplying volume by density

The volume of a cylinder is calculated as: V = πr^2h

Where: - r is the radius - h is the height

For this cylinder: - Diameter is 60 cm - Height is 20 cm

To get the radius from the diameter: r = D/2 = 60/2 = 30 cm

So the volume is: V = πr^2h = π×30^2×20 = 28,274 cm^3

The density of granite is provided as 2700 kg/m^3 [[1]].

To convert the volume to m^3: V (m^3) = V (cm^3) / 1000,000 = 0.028274 m^3

Finally, the weight is calculated as: **Weight = Volume × Density = 0.028274 m^3 × 2700 kg/m^3 = 76.34 kg**

So the total weight of the cylindrical granite base is approximately 76.34 kg.