Question

the volume of two sphere are in the ratio of 64:27 find the ratio of Thier surface areas​

Answer 1

Answer:

The answers are 201.06 sq units and 113.097 sq units

Step-by-step explanation:

Volume of Sphere is V= (4/3)πr³

Surface area of Sphere is S=4πr²

Given V₁:V₂=64:27

so, V₁/V₂= r₁³/r₂³=64:27

(Here (4/3)π gets cancelled in numerator and denominator as it's constant)

Now,

$\frac{r1}{r2} = \sqrt[3]{ \frac{64}{27} } = \frac{4}{3}$

From the above we get r₁=4 and r₂=3

substituting those values in surface of sphere formula we get the respective surface areas.

S₁=4πr₁²=4π×4²=201.0619 sq.units

S₂=4πr₂²=4π×3²=113.097 sq.units

Answer 2

Answer:

Hello.

Step-by-step explanation:

Have a nice day ahead..