Question

ДАНО : ШАР V = 36 П см3 Найти : Д

Answer 1

V=4/3πR³
4/3πR³ = 36π
4/3R³ = 36
R³ = 36 : 4/3 = 27
R=3
D = 2R = 6см

Answer 2

Problem Statement

You are given the volume of a sphere, V, which is equal to 36 cubic centimeters. You need to find the diameter of the sphere.

Solution

To find the diameter of the sphere, we can use the formula for the volume of a sphere:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Since we are given the volume, we can rearrange the formula to solve for the radius:

r = (3 * V / (4 * π))^(1/3)

Now, we can substitute the given volume into the formula to find the radius:

r = (3 * 36 / (4 * π))^(1/3)

Let's calculate the value of r using the given volume and the value of π.

r = (3 * 36 / (4 * π))^(1/3) = 3 cm

Finally, we can find the diameter of the sphere by multiplying the radius by 2:

d = 2 * r = 2 * 3 = 6 cm

Therefore, the diameter of the sphere is 6 centimeters.

Answer

The diameter of the sphere with a volume of 36 cubic centimeters is 6 centimeters.