Question

№1.Об'єм конуса дорівнює 30п куб.см,а його висота-3 см.Знайдіть радіус основи конуса.​

Answer 1

Ответ:

R=√30 см

Объяснение:

V=⅓*πR²*h.

R=√(3*V/hπ)=√(3*30π/3π)=√30см

Answer 2

Finding the Radius of the Cone's Base

To find the radius of the cone's base, we can use the formula for the volume of a cone, which is given by:

V = (1/3) * π * r^2 * h

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

In this case, we are given that the volume of the cone is 30 cubic centimeters (cm^3) and the height is 3 cm. We can substitute these values into the formula and solve for the radius (r).

30 = (1/3) * π * r^2 * 3

To find the value of r, we can rearrange the equation:

r^2 = (30 * 3) / (π * 3)

r^2 = 10 / π

Taking the square root of both sides gives us:

r = √(10 / π)

Now, let's calculate the value of r using the approximation of π as 3.14159.

r = √(10 / 3.14159)

Using a calculator, we find that the value of r is approximately 1.784 cm.

Therefore, the radius of the cone's base is approximately 1.784 cm.

Please note that the search results did not provide specific information related to this question. The calculation was performed using the formula for the volume of a cone and the approximation of π.