Question

Find the volume of the largest right circular cone that can be cut out of a cube whose edge is 7 cm

Answer 1

Hello Friend.....

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Given,


Edge of the cube=7cm

Then,

Height of the cone =7cm

Radius of the cone=7/2=3.5 cm...

Volume of the cone =1/3√r^2h


$= \frac{1}{3} \times \frac{22}{7} \times \frac{3.5}{10} \times \frac{3.5}{10} \times 7$

$\frac{26950}{300}$


=89.83.........

so ,

the final answer is ...

89.83

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Answer 2

Bonjour!

According to the question;

Side of the cube is = 7 cm

As, we are asked to find the volume of the largest right circular cone that can be cut out of a cube whose edge is 7 cm.

So, for that we need height and radius of the cone.

#Height of the cone will be = 7 cm

#Radius of cone will be = 7/2 = 3.5 cm

Volume of cone

$= > \frac{1}{3} \pi {r}^{2} h \\ \\ = > \frac{1}{3} \times \frac{22}{7} \times 3.5 \times 3.5 \times 7 \\ \\ = > \frac{269.5}{3} \\ \\ = > 89 .83 \: {cm}^{3}$

So, the volume of cone that can be cut out can be = 89.83 cm³

Hope this helps...:)