Question

На сколько отличаются объемы двух шаров с радиусами 3см и 6 см?

Answer 1

Эм... Наверно, так.

$V = \frac{4}{3}\pi R^3$

$V1 = \frac{4}{3}27\pi$

$V2 = \frac{4}{3}216\pi$

V2 - V1 ? 

$\frac{4}{3}216\pi - \frac{4}{3}27\pi = 288\pi - 36\pi = 252\pi \approx 791.28$

Answer 2

Calculating the Volume of Spheres with Radii 3 cm and 6 cm

To calculate the volumes of the spheres with radii 3 cm and 6 cm, we can use the formula for the volume of a sphere, which is given by:

V = (4/3)πr^3

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

For the sphere with a radius of 3 cm: V1 = (4/3)π(3)^3

For the sphere with a radius of 6 cm: V2 = (4/3)π(6)^3

Let's calculate the volumes using these formulas.

V1 = (4/3)π(3)^3 V2 = (4/3)π(6)^3

Using the formula for the volume of a sphere, we can calculate the volumes of the spheres with radii 3 cm and 6 cm.

V1 = 36π cubic cm V2 = 288π cubic cm

Difference in Volumes

The difference in volumes between the two spheres can be calculated by subtracting the smaller volume from the larger volume:

Difference = V2 - V1 Difference = 288π - 36π Difference = 252π cubic cm

Therefore, the difference in volumes between the spheres with radii 3 cm and 6 cm is 252π cubic cm.