A sphere

A sphere has a radius of 5.5 cm. Determine its volume and surface area. A frustum of the sphere is formed by two parallel planes. One through the diameter of the curved surface of the frustum is to be of the surface area of the sphere. Find the height and volume of the frustum.

Final Answer:

V =  696.91 cm³
S =  380.1327 cm²

Step-by-step explanation:

$$\begin{gathered} r=5.5\text{cm} \\ V=\frac{4}{3}\cdot \pi \cdot r^3=\frac{4}{3}\cdot 3.1416\cdot 5.5^3=696.91{\text{cm}}^3 \end{gathered}$$

$S=4\pi \cdot r^2=4\cdot 3.1416\cdot 5.5^2=380.1327{\text{cm}}^2$

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