What is the radius of a sphere which area is equal to the sum of the areas of four circles of radius 7?

Question

asked Jul 22, 2021 198k views

1 Answer

Yaroslav Shabalin · Answer 1 · 2021-07-28T05:37:28+0000

Answer:

radius = 7 units

Explanation:

Given:

Radius = 7 units

Find area of 4 circles:

1 circle = π (7)² = 49π units²

4 circles = 49π x 4 = 196π units²

Find radius of sphere:

4πr² = 196π

r² = 49

r = 7