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densk [106]
3 years ago
15

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

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
3 0

Answer:

radius = 7 units

Step-by-step 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

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