asked 96.1k views
3 votes
peng fills a beach ball which is in the shape of a sphere with air. the diameter of the beach ball is 30 cm. how many cubic centimeters of air are needed to feel the beach ball? use 3.14 for pi.

asked
User Gooziec
by
8.0k points

1 Answer

3 votes

Answer:

The volume of a sphere can be calculated using the formula:

V = (4/3)πr^3

where V is the volume, π is the mathematical constant pi, and r is the radius of the sphere.

Since the diameter of the beach ball is given as 30 cm, the radius (r) can be calculated by dividing the diameter by 2:

r = 30 cm / 2 = 15 cm

Substituting this value of r into the formula, we get:

V = (4/3)π(15 cm)^3

V = (4/3)π(3375 cm^3)

V = 4.5π(3375 cm^3)

V = 14137.5 cm^3 (rounded to one decimal place)

Therefore, approximately 14,138 cubic centimeters of air are needed to fill the beach ball.

I Hope This Helps!

answered
User James Avery
by
7.9k points
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