Question

volume of two sphere are in the ratio 64:27 . find the ratio of there surface area ​

Answer 1

Answer:

Given that,

Volume of two sphere are in ratio=64:27

We know that ,

Volume of sphere=34πr3

Then,

Volumeofsphere(2)Volumeofsphere(1)=2764

34πr2334πr13=2764

r23r13=2764

r2r1=34

Then, Ratio of areas both spheres

areaofsphere(2)areaofsphere(1)=4πr2

Step-by-step explanation:

I hope this will help you

mark me as BRAINLIST

Answer 2

Here, as per the provided question we are asked to find the surface area of the volume of two sphere are in the ratio 64:27 –

GIVEN :

• Volume of two sphere = 64:27 (Ratio)

TO FIND :

• The Ratio of there surface area = ?

STEP-BY-STEP EXPLANATION :

Now, here we'll have to find the ratio of the there surface area –

→ Volume of 2 spheres = 64:27 (In Ratio)

So, now we will have to apply an appropriate formula for finding the ratio of surface area –

Formula used –

• Volume of sphere = 4/3πr³

[ Substituting the values as per the formula ] :

→ Volume of sphere = 4/3πr³

→ Volume of the sphere (a)/Volume of sphere (b)

→ 4/3πr(a)³/4/3πr(b)² = 64/27

→ r(1)³ / r(2)³ = 64/27

→ r1/r2 = 4/3

Now, here we will have to find the surface area. So, let us being it –

→ Area of sphere (a) /Area of sphere (b) = 4πr1² / 4πr2²

→ r1²/r2² = (r1/r2)² = (4/3)² = 16/9 = 16:9 (in Ratio)

Therefore, the ratio of there surface area = 16:9