Sphere Quiz

Get ready for a Sphere Quiz that explores the hidden geometry of everyday objects. One surprising fact is that a soap bubble, when formed, naturally shapes itself into a sphere. This is because a sphere encloses the maximum volume with the least surface area, a marvel of efficiency in nature. This property is why planets, water droplets, and even tiny pollen grains often adopt a spherical shape. Such is the elegance of the sphere; it’s mathematically pure and naturally perfect. Delve into sphere questions that explore this elegant geometry, from understanding surface area to calculating volume. Whether you’ve pondered how volume changes when the radius triples or what happens when surface area is doubled, this quiz will put your knowledge to the test.

Sphere

Two spheres have volumes in the ratio 1:8. What is the ratio of their radii?

1 : 2

2 : 1

1 : 3

1 : 4

A spherical balloon is inflated so that its radius triples. By what factor does its volume increase?

If the surface area of a sphere is 4 times the area of its great circle, what is its radius?

Twice the great circle's radius

Equal to the great circle's radius

Four times the great circle's radius

Half of the great circle's radius

A spherical balloon is inflated such that its surface area doubles. By what factor does its radius increase?

√2

1/2

If the volume of a sphere is halved, what happens to its radius?

It is reduced to ∛2

It is halved

It is doubled

It is reduced to 1/√2

Two spheres have radii in the ratio 1:3. What is the ratio of their surface areas?

9 : 1

1 : 9

1 : 3

3 : 1

If the surface area of a sphere is doubled, by what factor does its volume change?

√2

2√2

If the radius of a sphere is tripled, by what factor does its surface area increase?

If the volume of a sphere is equal to its surface area, what is its radius?

A sphere is cut into two hemispheres. What is the percentage increase in the total surface area?

40%

50%

100%

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Sample Questions from This Quiz

A spherical balloon is inflated so that its radius triples. By what factor does its volume increase?
If the surface area of a sphere is 4 times the area of its great circle, what is its radius?
A spherical balloon is inflated such that its surface area doubles. By what factor does its radius increase?
If the volume of a sphere is equal to its surface area, what is its radius?
A sphere is cut into two hemispheres. What is the percentage increase in the total surface area?

Try the full quiz and see how many of these you can answer!