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10. (a) The surface area and volume of a sphere are in the ratio of 3: 7 cm what is the circumference o its great circle and volume? find it ​

Sagot :

Answer:

Step-by-step explanation:

let r be the radius of sphere.

surface area=4πr²

[tex]volume=\frac{4}{3} \pi r^3\\\frac{surface~area}{volume} =\frac{4\pi r^2}{\frac{4}{3} \pi r^3} =\frac{3}{r} =\frac{3}{7}\\r=7\\circumferece~of~greater~circle=2\pi r=2 \times \pi \times 7=14\pi[/tex]