Question

The surface area of sphere T is 452.16 units squared. The surface area of sphere X is 1,808.64 units squared. How many times larger is the radius of sphere X than the radius of sphere T

Answer 1

Explanation:

Comment

The surface area for a sphere is 4 pi * r^2

Givens

Surface Area X = 1808.64

Surface Area T = 452.16

Solution

Sphere X

Surface Area = 4 pi r^2

Surface Area X = 4 * 3.14

1808.64 = 12.56 * r^2 Divide both sides by 12.56

1808.64/12.56 = 12.56 r^2/12.56

r^2 = 144 Take the square root of both sides

√^2 = √144

r = 12

Sphere T

Surface Area = 4 pi r^2

452.16 = 12.56 r^2 Divide by 12.56

452.16 / 12.56 = 12.56 r^2/12.56

r^2 = 36 Take √ of both sides

√r^2 = √36

r = 6

Conclusion

radius x: radius T :: 12/6

radius x: radius T :: 2/1