Question

Обём кубической коробки равен 64см3 кубических .поместится ли в этуикаробкумдеревянный шарик радиусом 4см?​

Answer 1

Ответ:
Нет, не поместится.

Решение:
Vшара=4πR³/3=4*3,14*4³/3=
≈268см³
268>64

Answer 2

Checking the Fit of a Wooden Ball in a Cubic Box

To determine if a wooden ball with a radius of 4 cm will fit inside a cubic box with a volume of 64 cm³, we can calculate the volume of the wooden ball and compare it to the volume of the box.

Calculating the Volume of the Wooden Ball

The volume of a sphere can be calculated using the formula: \[ V = \frac{4}{3} \pi r^3 \] Where: - \( V \) = volume of the sphere - \( \pi \) is approximately 3.14159 - \( r \) = radius of the sphere

Substituting the given radius (\( r = 4 \) cm) into the formula: \[ V = \frac{4}{3} \times 3.14159 \times 4^3 \] \[ V = \frac{4}{3} \times 3.14159 \times 64 \] \[ V \approx 268.08 \, \text{cm}^3 \]

So, the volume of the wooden ball is approximately 268.08 cm³.

Comparing the Volumes

The volume of the wooden ball (approximately 268.08 cm³) is greater than the volume of the cubic box (64 cm³). Therefore, the wooden ball with a radius of 4 cm will not fit inside the cubic box with a volume of 64 cm³.

Conclusion: The wooden ball with a radius of 4 cm will not fit inside the cubic box with a volume of 64 cm³.