Math, asked by uttamds3400, 1 year ago

Find the volume of the largest solid right circular cone that can be cut out off a solid cube of side 14cm

Answers

Answered by Anonymous
5

Cone is having diameter



Length of cube = 14 cm  




Radius =  \bf\huge\frac{14}{2} cm  



Radius = 7




Height of cone is equal to the height of cube




= 14 cm  




Volume of cone




\bf\huge = \frac{1}{3} \pi r^{2} h




\bf\huge = \frac{1}{3} \times\frac{22}{7} \times 7^{2} \times 14





= 718.66 cm³  




Answered by viji18net
1

Answer:

Given: The edge of cube = 14 cm

⇒This will be the altitude of the cone.

Now,

The radius of circular cone will be 14/2=7 cm.

As, we know that,  

The volume of cone is given by formula:

where,

R is the radius and H the altitude of cone.

Also, we are asked for the largest cone, its volume must be equal or less than the volume of cube.

Attachments:
Similar questions