A solid

A solid consists of a cone standing on a hemisphere, both with equal radii of 1 cm, and the height of the cone equals its radius. Find the volume of the solid.

Final Answer:

V =  3.1416 cm³

Step-by-step explanation:

$$\begin{gathered} r=1\text{cm} \\ h=r=1\text{cm} \\ {V}_1=\frac{1}{3}\cdot \pi \cdot r^2\cdot h=\frac{1}{3}\cdot 3.1416\cdot 1^2\cdot 1\doteq 1.0472{\text{cm}}^3 \\ {V}_2=\frac{2}{3}\cdot \pi \cdot r^3=\frac{2}{3}\cdot 3.1416\cdot 1^3\doteq 2.0944 \\ V=V_1+V_2=1.0472+2.0944=3.1416{\text{cm}}^3 \end{gathered}$$

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