Spheres and theirs geometric figures
Find the area and the volume of a spherical area whose circumferences have radius $10$cm and $8$ cm, and the distance between them is $5$ cm.
From the formula of the calculation of the area and volume of a spherical area, we have :
$$A=2\cdot\pi\cdot 10\cdot 5= 314,16 \text{ cm}^2$$
$$V=\dfrac{1}{6}\cdot \pi\cdot 5\cdot(5^2+3\cdot 10^2+3 \cdot 8^2)= 1353,5\text{ cm}^3$$
The area of the spherical area is $314,16 \text{ cm}^2$ and the volume is $1353,5\text{ cm}^3$.