Question

the surface area of sphere is 154cm³ and then find the diameter of Sphere​

Answer 1

★Given:

• Surface area of sphere = 154cm³

★To find:

• The diameter

★Solution:

Using the formula,

✦Surface area of sphere = 4πr²

Where,

• r = radius
• Surface area = 154cm³

Putting values,

➜Surface area = 4πr²

➜154 = 4πr²

➜154 = 4(22/7)r²

➜r² = (154 × 7)/(4×22)

➜r = 35/10

➜r = 3.5cm

Using the formula,

✦Diameter = 2r

Putting values,

➜Diameter = 2r

➜2(3.5)

➜7cm

Therefore,the radius of the sphere is 7cm.

______________

Answer 2

Given that

$surface \: area \: of \: sphere \: = 154 {cm}^{3}$

To find

Diameter of sphere

Solution

As we know that

$surface \: area \: of \: sphere = 4\pi \times {r}^{2}$

where r is radius of square

d is diameter of sphere

hence

$154 = 4\pi \times {r}^{2}$

put

$\pi = \frac{22}{7}$

then

$r = 3.5cm$

diameter will be

$d = 2 \times 3.5 \\ = 7cm$

Hence diameter of sphere is 7cm.