the volume of cylinder is 330 CM³. the volume of having cone same radius and height as that of the given cylinder is
Answers
Answer:
the volume of cylinder = πr^2×h
the volume of cone = 1/3 πr^2×h
so dividing both, both having same radius and height
will cancel each other.
volume of cone/ volume of cylinder = 1/3
so the volume of cone = 1/3×330
volume of cone = 110 cm^3
Given - Volume of the cylinder
Find - Volume of a cone
Solution - The cone with the same dimensions as the cylinder has a volume of 110 cm³.
The volume of the cylinder is given by the formula = πr²h.
The volume of the cone is given by the formula = πr²h/3
So, comparing the two equations, we can write -
The volume of cone = volume of cylinder/3.
Keep the values in the formula to find the value of the cone.
The volume of the cone = 330/3
The volume of the cone = 110 cm³.
Therefore, the cone with the same dimensions as the cylinder has a volume 110 cm³.