Question

32 question number Kar do plz

Answer 1

let R1 be reduced so the new radius of the sphere is R - R1

Answer 2

We know that volume of sphere = (4/3) * πr^3.

Given, volume of a sphere is 4851 cm^3.

⇒ (4/3)πr^3 = 4851

⇒ (4/3) * (22/7) * r^3 = 4851

⇒ (88/21) * r^3 = 4851

⇒ 88r^3 = 4851 * 21

⇒ 88r^3 = 101871

⇒ r^3 = 1157.625

⇒ r = ∛1157.625

⇒ r = 10.5 cm.

Now,

Given, New volume = (4312/3) cm^3.

⇒ (4/3) * πr^3 = (4312/3)

⇒ (4/3) * (22/7) * r^3 = (4312/3)

⇒ 3(88r^3) = 21(4312)

⇒ 264r^3 = 90552

⇒ r^3 = 343

⇒ r = 7 cm.

Hence, decrease in radius = 10.5 - 7 = 3.5 cm.

Therefore, radius should be reduced by 3.5 cm.

Hope this helps!