A spherical balloon has a circumference of 19 cm. What is the approximate surface area of the balloon to the nearest square centimeter?

A. 115 cm^2
B. 460 cm^2
C. 361 cm^2
D. 1,134 cm^2

What is the volume of the sphere? Round the answer to the nearest cubic unit.
Radius: 18 cm

A. 3,054 cm^3
B. 339 cm^3
C. 763 cm^3
D. 9,160 cm^3

1 answer

To find the radius of the balloon, we can use the formula for circumference: C = 2πr. Plugging in the given circumference, we get:

19 = 2πr
r ≈ 3.03 cm

Now we can use the formula for surface area of a sphere: S = 4πr^2. Plugging in the radius we just found, we get:

S ≈ 115 cm^2

Therefore, the answer is A. 115 cm^2.

To find the volume of the sphere, we can use the formula V = (4/3)πr^3. Plugging in the radius we found earlier, we get:

V ≈ 3,054 cm^3

Therefore, the answer is A. 3,054 cm^3 (rounded to the nearest cubic unit).
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