Volume of right circular cylinder is twice the volume of the right circular cone. (True or false)
Answers
Answered by
11
The given statement is false. Volume of right circular cylinder is not twice the Volume of right circular cone.
Let's us consider that, Radius and Height of Both Right circular cylinder and cone are equal. So,
Now,
Volume of right circular cylinder = πr²h
Volume of right circular cone = 1/3πr²h
Now, We observe that, Volume of cone and cylinder are in the ratio 1 : 3.
So, Volume of a right circular cylinder is thrice the Volume of right circular cone.
Let's us consider that, Radius and Height of Both Right circular cylinder and cone are equal. So,
Now,
Volume of right circular cylinder = πr²h
Volume of right circular cone = 1/3πr²h
Now, We observe that, Volume of cone and cylinder are in the ratio 1 : 3.
So, Volume of a right circular cylinder is thrice the Volume of right circular cone.
Answered by
1
Volume of the right circular cylinder = π * ( r )^2 * h
Here,
π - 3.14
r - radius
h - height
Volume of the right circular cone = 1 / 3 π * ( r )^2 * h
Here,
π - 3.14
r - radius
h - height
And so,
The volume of the cone is 1 / 3 of the volume if the cylinder.
Hence, the statement is false.
Similar questions