ANSWER: 1/3
Explanation: Volume of a sphere: (4/3)* π*r^{3}Area of a sphere: 4πr^{2} =>It is mentioned that surface area when multiplied by r and a constant gives Volume and value of constant is to be found.=> 4πr^{2}*r*k= (4/3)* π*r^{3}=>k=1/3
ANSWER: 12.36%
Explanation: Let old radius be 1rAs the radius has increased by 6%, the new radius = 1.06 rNew area = π (1.06r)^{2}=1.1236πr^{2} Increase: πr^{2} (1.1236) - πr^{2}=> 0.1236πr^{2} /πr^{2}=> 12.36%