Geometry

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 66 around line LL containing the diameter of the semicircle (as shown in the above diagram)?

Find the volume of a spherical wedge with r=7,r=7, θ=112π.\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 cm3\text{ cm} and the radius of the entire model Earth is 18 cm.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 cm,r=11\text{ cm}, what is the volume of the hemisphere?

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