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ISEE Upper Level Math : How to find the diameter of a sphere

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Example Question #1 : Spheres

There is a perfectly spherical weather balloon with a surface area of $900 \pi ft^2$ , what is its diameter?

Possible Answers:

15ft

22.5ft

25 ft

30ft

Correct answer:

30ft

Explanation:

There is a perfectly spherical weather balloon with a surface area of $900 \pi ft^2$ , what is its diameter?

Begin with the formula for surface area of a sphere:

$SA_{sphere}=4 \pi r^2$

Now, set it equal to the given surface area and solve for r:

$900 \pi ft^2=4 \pi r^2$

First divide both sides by $4\pi$ .

225ft^2=r^2

Then square root both sides to get our radius:

r=15ft

Now, because the question is asking for our diameter and not our radius, we need to double our radius to get our answer:

d=2r=2*15ft=30 ft

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All ISEE Upper Level Math Resources

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ISEE Upper Level Math : How to find the diameter of a sphere

Study concepts, example questions & explanations for ISEE Upper Level Math

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Example Question #1 : Spheres

All ISEE Upper Level Math Resources

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