Question

Можно ли шар с радиусои 7см разместить внутри куба с длиной ребра 15 см?

Answer 1

Радиус - это половина диаметра

d=2*R=2*7=14 см

15 см>14 cм

Ответ: да, можно.

Answer 2

можно, так как размер шара меньше,чем размер куба

Answer 3

Can a sphere with a radius of 7 cm fit inside a cube with a side length of 15 cm?

To determine if a sphere with a radius of 7 cm can fit inside a cube with a side length of 15 cm, we can compare the volume of the sphere to the volume of the cube.

The volume of a sphere is given by the formula: V_sphere = (4/3) * π * r^3, where r is the radius of the sphere.

The volume of a cube is given by the formula: V_cube = s^3, where s is the length of a side of the cube.

Let's calculate the volumes and compare them.

First, let's calculate the volume of the sphere: V_sphere = (4/3) * π * 7^3.

Using the value of π as approximately 3.14159, the volume of the sphere is approximately 1436.76 cubic centimeters.

Now, let's calculate the volume of the cube: V_cube = 15^3. The volume of the cube is 3375 cubic centimeters.

Since the volume of the cube (3375 cubic centimeters) is greater than the volume of the sphere (1436.76 cubic centimeters), it is indeed possible to fit a sphere with a radius of 7 cm inside a cube with a side length of 15 cm.

Therefore, it is possible for a sphere with a radius of 7 cm to fit inside a cube with a side length of 15 cm.