Question

The diameter of a sphere whose surface area is 154cm2 is​

Answer 1

Answer:

if you understand step by step solutions

Answer 2

$\huge \red { \mathfrak{solution}}$

Given:

»Surface area of the sphere is 154cm^2

To find :

»Diameter of the sphere .

As we know that :

»Surface area of the sphere is

$\huge \red{ \boxed{4\pi {r}^{2} }}$

$\star \: 4\pi {r}^{2} = 154 \\ \\ \star \: {r}^{2} = \frac{154}{4\pi} \\ \\ \star \: {r}^{2} = \frac{154 \times 7}{4 \times 22} \\ \\ \star \: {r}^{2} = \frac{ \cancel{154} \times 7}{4 \times \cancel{22}} \\ \\ \star \: {r}^{2} = \frac{7 \times 7}{4} = \frac{49}{4} \\ \\ \star \: r = \sqrt{ \frac{49}{4} } \\ \\ \star \: r = \frac{7}{2} \\ \\ \star \: r \: = 3.5$

Hence ,the value of radius is 3.5 cm

→ Diameter = 2(radius)

→Diameter = 2(3.5)

→Diameter = 7 cm