Question

38. If the volume of a sphere is divided by its
surface area, then the result is 27. Find the
radius of sphere.​

Answer 1

Answer:-

★ Given:

• Volume of sphere ÷ Surface Area = 27

★ To Find:

• Radius of sphere

★ Formula Used:

• Volume of sphere = (4/3) π r

• Surface area of sphere = 4 π r²

Here,

π = 22/7

r = Radius

★ Solution:

According to given conditions;

Volume of sphere ÷ Surface Area = 27

(4/3) π r ÷ 4 π r² = 27

(1/3) × r = 27

r / 3 = 27

r = 27 × 3

r = 81units

∴ r = radius = 81 units.