Question

spherical ball is divided into two equal halves. If the curved surface area of each half is 56.57 cm?, find the volume of the spherical ball.​

Answer 1

Answer:

80 km + 50 km -50+50km = 150 cm

Answer 2

The volume of the sphere is 113.04 cm³

Step-by-step explanation:

Solution:

• Radius of the Hemisphere:
• Curved surface of half of the spherical ball is 56.57 cm²

$\boxed{\sf{CSA \: of \: hemisphere = 2\pi {r}^{2}}}$

$\sf{\longrightarrow} \: 2\pi{r}^{2} = 56.5$

$\sf{\longrightarrow} \: {r}^{2} = \dfrac{56.57}{2} \times \pi$

$\sf{\longrightarrow} \: {r}^{2} = \dfrac{56.57}{2} \times 3.14$

$\sf{\longrightarrow} \: {r}^{2} = 9$

$\sf{\longrightarrow} \: {r}= 3$

Radius of the Hemisphere = 3 cm

$\rule{300}{1.5}$

Volume of the sphere:

$\boxed{\sf{Volume \: of \: the \: sphere= \frac{4}{3}\pi r^{3}}}$

$\sf{\longrightarrow} \: \dfrac{4}{3}\pi (3)^{3}$

$\sf{\longrightarrow} \: \dfrac{4}{3} \times 3.14 \times (3)^{3}$

$\sf{\longrightarrow} \: \dfrac{4}{3} \times 3.14 \times 27$

$\sf{\longrightarrow} \: 12.56 \times 9$

$\sf{\longrightarrow} \: 113.04 \: {cm}^{3}$

Therefore, the volume of the sphere is 113.04 cm³