Question

If the surface area of a sphere is 616 cm², Find it's volume.

Fast.

Answer 1

Hi mate
Surface area of sphere = 4πr^2
So, 4×22/7×r^2 = 616
Then, r^2 = 616/4×7/22
r^2 = 49
So, r = √49 = 7cm

So, Volume = 4/3πr^3
= 4/3×22/7×7×7×7
= 4312/3 = 1437.4cm^3 (appr.)

Answer 2

Answer:

$\boxed{\boxed{\bf{1437.33\:cm^3}}}$

Surface area of a sphere is given by the formula :-

S.A = 4 π r²

⇒ 616 cm² = 4 π r²

Take π as 22/7

⇒ 616 cm² = 4 × 22/7 × r²

⇒ 22/7 × r² = 616 cm² / 4

⇒ 22/7 × r² = 154 cm²

⇒ r² = 154 cm² × 7/22

⇒ r² = 7 cm² × 7

⇒ r² = 49 cm²

⇒ r = 7 cm

The radius is 7 cm .

Volume of a sphere is given by 4/3 π r³

V = 4/3 π r³

⇒ 4/3 × 22/7 × 7³

⇒ 4/3 × 22 × 7²

⇒ 4/3 × 22 × 49

⇒ 4/3 × 1078

⇒ 1437.33 cm³

The volume is 1437.33 cm³ .