Question

volume of two spheres are in the ratio 64: 27 find the ratio of surface area​

Answer 1

Step-by-step explanation:

here's your answer

all the best for math exam

Answer 2

Answer:

16 / 9 .

Step-by-step explanation:

R = radius of bigger sphere.

r = radius of smaller sphere.

Volume of bigger sphere = 4/3 $\pi$ R³.

Volume of smaller sphere = 4/3 $\pi$ r³.

ratio = 64/27

=> 4/3 $\pi$ R³ ÷ 4/3 $\pi$ r³ =64/27.

=> R³ / r³ = 64 / 27.

=> R / r = $\sqrt[3]{64 / 27}$.

=> R / r = 4 / 3.

∴ Surface Area of bigger sphere = 4$\pi$ R².

Surface Area of bigger sphere = 4$\pi$ r².

ratio = 4$\pi$ R² / 4$\pi$ r²

       = R² / r²

       = (4 / 3)²

       = 16 / 9 .