Question

Объем цилиндра равен 15 см ^3. Радиуса основания увеличили в 2 раза в высоту уменьшили в 2 раза

Answer 1

Если новый объем, то получим V=pi R^2H Новый объем будет Vновый=pi (2R)^2H/2=2R^2H pi=2V=2*15=30 см3

Answer 2

V1=πR²h=15см³
v2=π*4R²*h/2=2πR²=2*15=30см³

Answer 3

Calculation of the Volume of a Cylinder

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

V = πr^2h

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

In this case, we are given that the volume of the cylinder is 15 cm^3. We are also told that the radius of the base is increased by a factor of 2, and the height is decreased by a factor of 2.

Let's solve this problem step by step.

Step 1: Identify the Given Values

The given values are: - Volume (V) = 15 cm^3 - Radius (r) increased by a factor of 2 - Height (h) decreased by a factor of 2

Step 2: Calculate the New Values

To find the new values of the radius and height, we need to apply the given factors to the original values.

Let's assume the original radius is r and the original height is h.

The new radius will be 2r (increased by a factor of 2), and the new height will be h/2 (decreased by a factor of 2).

Step 3: Substitute the Values into the Volume Formula

Now, we can substitute the new values into the volume formula and solve for the new volume.

The new volume (V') can be calculated as:

V' = π(2r)^2(h/2)

Simplifying this equation, we get:

V' = π(4r^2)(h/2) V' = 2πr^2(h/2) V' = πr^2h/2

Step 4: Solve for the New Volume

We know that the new volume (V') is equal to 15 cm^3. Therefore, we can set up the equation:

15 = πr^2h/2

To solve for r^2h,