Question

An edge of a cube measures 4cm. If the largest possible right circular cone is cut out of this cube then the volume of the cone is
A) 2 pi cm cube
B) 8 pi/3 cm cube
C) 16pi/3 cm cube
D) 9pi cm cube

Answer 1

Hope this helps you!

Answer 2

Answer:

$\frac{16}{3} \pi m^3$

Step-by-step explanation:

We are given a cube whose edge is of length 4 cm

So,  If the largest possible right circular cone is cut out of this cube

So, the  diameter of the cone = 4 cm

Height of the cone = 4 cm

So, radius of cone = $\frac{Diameter}{2} =\frac{4}{2}=2 cm$

Volume of cone = $\frac{1}{3} \pi r^{2} h$

So, volume  of largest possible right circular cone =$\frac{1}{3} \pi (2)^{2} \times 4$                            

                                                                                  =$\frac{1}{3} \pi 4 \times 4$                              

                                                                                   =$\frac{16}{3} \pi m^3$                                                        

Hence Option C is correct.

Volume of cone is $\frac{16}{3} \pi m^3$