Question

объем цилиндра равен 600 см3 радиус основания цилиндра уменьшили в 10 раз, высоту цилиндра увеличили в 3 раза. вычисли обьём полученного цилиндра, ПРОШУ СРОЧНО

Answer 1

Ответ:

V1=18см³

Объяснение:

V=πR²*H; V=600см³

Уменьшаем радиус в 10р— (R/10)

Увеличиваем высоту в 3раза.—(3Н)

V1=π*(R/10)²*3H=3HR²π/100

V1=3/100*πR²*H=3/100*V=

=3/100*600=18 см³

Answer 2

Calculation of the Volume of the Cylinder

To calculate the volume of a cylinder, we use the formula:

Volume = π * r^2 * h

where: - π is a mathematical constant approximately equal to 3.14159 - r is the radius of the base of the cylinder - h is the height of the cylinder

In this case, we are given that the initial volume of the cylinder is 600 cm^3. The radius of the base of the cylinder is reduced by a factor of 10, and the height of the cylinder is increased by a factor of 3.

Let's calculate the volume of the resulting cylinder step by step:

1. Calculate the new radius of the base: - The radius is reduced by a factor of 10, which means it becomes 1/10 of its original value. - Let's assume the original radius is r. The new radius, r', is given by r' = r/10.

2. Calculate the new height of the cylinder: - The height is increased by a factor of 3, which means it becomes 3 times its original value. - Let's assume the original height is h. The new height, h', is given by h' = 3h.

3. Calculate the volume of the resulting cylinder: - Substitute the new values of the radius and height into the volume formula. - The volume, V', of the resulting cylinder is given by V' = π * (r/10)^2 * (3h).

Let's calculate the volume of the resulting cylinder using the given information:

1. The initial volume of the cylinder is 600 cm^3. 2. The radius of the base is reduced by a factor of 10, so the new radius is 1/10 of the original radius. 3. The height of the cylinder is increased by a factor of 3, so the new height is 3 times the original height.

Using these values, we can calculate the volume of the resulting cylinder.