Question

find the volume of a sphere
whose surface area is 154 cm
20x

30-


​

Answer 1

Given :-

• Surface area of sphere = 154 cm

To find :-

• Volume of sphere

Solution :-

As we know that

• ★ Surface area of sphere = 4πr²

• → 154 = 4πr²

• → 154 = 4 × 22/7 × r²

• → 154 = 88/7 × r²

• → r² = 154 × 7/88

• → r² = 12.25

• → r = √12.25 = 3.5cm

Now, volume of sphere

• → 4/3 πr³

• → 4/3 × 22/7 × 3.5 × 3.5 × 3.5

• → 4/3 × 22 × 0.5 × 3.5 × 3.5

• → 539/3

• → 179.6cm³

Hence,

• Volume of sphere is 179.6cm³

Answer 2

Sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ ᴏғ ᴀ sᴘʜᴇʀᴇ=4πr2=154cm2

⇒4×722r2=154cm2

⇒r2=4154×227

⇒r2=449

⇒r=449

∴r=27=3.5cm

Vᴏʟᴜᴍᴇ ᴏғ sᴘʜᴇʀᴇ=34πr3

=34×722×(3.5)3

=2188×42.875‬=179.67cm3

Hᴏᴘᴇ ɪᴛ ʜᴇʟᴘs ʏᴏᴜ!!!!!(●’◡’●)ﾉ