Without 8260

The ice cream sundae glass has a cone shape. Its height without legs is 9 cm, and its radius is 5 cm. Šimon bought eight scoops of ice cream, which all melted in the sun. One scoop of ice cream has a volume of 32 cm³. How many cm³ of melted ice cream will flow over the edge?

Correct answer:

V =  20.3806 cm³

Step-by-step explanation:

$$\begin{gathered} h=9\text{cm} \\ r=5\text{cm} \\ {V}_1=\frac{1}{3}\cdot \pi \cdot r^2\cdot h=\frac{1}{3}\cdot 3.1416\cdot 5^2\cdot 9\doteq 235.6194{\text{cm}}^3 \\ {V}_2=8\cdot 32=256{\text{cm}}^3 \\ V=V_2-V_1=256-235.6194=20.3806{\text{cm}}^3 \end{gathered}$$

Try another example