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# Volume

What is the volume of a sphere of radius 5? If we make a cylinder two times taller, and its radius three times bigger, how many times larger would it become in volume?

# Volume - Sphere

If a sphere has radius 3, what is its volume?

What is the volume of the solid figure obtained by rotating a semicircle with radius $$6$$ around line $$L$$ containing the diameter of the semicircle (as shown in the above diagram)?

Find the volume of a spherical wedge with $$r=7,$$ $$\theta=\frac{1}{12}\pi.$$

Calvin is making a model Earth in his science class. The radius of the inner core of the model Earth is $$3\text{ cm}$$ and the radius of the entire model Earth is $$18\text{ cm}.$$ How many times larger is the volume of the entire model Earth than the volume of the inner core of the model Earth?

Note: Both the model Earth and its inner core are perfect spheres.

If the radius of the hemisphere in the above diagram is $$r=11\text{ cm},$$ what is the volume of the hemisphere?

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