Question

63. The volume of two spheres are in the ratio of 27:8. If
the sum of their radii is 5 units find the difference of
their surface areas
(a) 257 sq. units
20. sq. units
(b) 125 sq. units
(d) 100 sq. units​

Answer 1

Answer:

20 π

Step-by-step explanation:

$\frac{v1}{v2} = \frac{27}{8} \\ \\ \frac{\frac{4}{3} \pi {x}^{3} }{\frac{4}{3} \pi {y}^{3} } = \frac{27}{8} \\ \\ \frac{ {x}^{3} }{ {y}^{3} } = \frac{27}{8} \\ \\ \frac{x}{y} = \frac{3}{2} \\ \\ x = \frac{3y}{2} \\ \\ \\ \\ x + y = 5 \\ \\ \frac{3y}{2} + y = 5 \\ \\ \frac{5y}{2} = 5 \\ \\ y = 2 \\ \\ x = \frac{3}{2} \times 2 = 3 \\ \\ s1 - s2 = 4\pi( {x}^{2} - {y}^{2} ) \\ \\ = 4\pi(9 - 4) \\ \\ = 20\pi.$