Calculating 63344

Calculate the volume of the cone formed by rotating an isosceles triangle about the height of the base. The triangle has a side length of 15 cm and a height to the base of 12 cm. When calculating, use the value pi = 3.14 and round the result to one decimal place.

Correct answer:

V =  1017.876 cm³

Step-by-step explanation:

$$\begin{gathered} a=15\text{cm} \\ h=12\text{cm} \\ {a}^2=r^2+h^2 \\ r=\sqrt{a^2-h^2}=\sqrt{15^2-12^2}=9\text{cm} \\ V=\frac{1}{3}\cdot \pi \cdot r^2\cdot h=\frac{1}{3}\cdot 3.1416\cdot 9^2\cdot 12=1017.876{\text{cm}}^3 \end{gathered}$$

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