Volume - Sphere Practice Problems Online

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

36 \pi

12 \pi

54 \pi

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)?

96 \pi

192 \pi

288 \pi

432 \pi

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

\frac{1}{18}\pi

343\pi

\pi

\frac{343}{18}\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?

\frac{2662}{3}\pi\text{ cm}^3

\frac{5324}{3}\pi \text{ cm}^3

\frac{1331}{3}\pi\text{ cm}^3

\frac{121}{3}\pi \text{ cm}^3

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Volume - Sphere