How do you find the volume of a cone with a base radius of 3 units and a height of 6 units?
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Priyanka Sharma
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Answer ( 1 )
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What is volume?
The space occupied by an object is called its volume. We find volume of only three -Dimensional shapes (3-D shapes) For eg. Cylinder, cone. Volume can be measured in cubic units.
What is cone?
A cone is three three-dimensional (3-D) figure with a circular base. A cone can be described in terms of height and radius. Examples of a cone are:-Ice cream cone, Birthday caps
What is volume of cone?
Volume of a cone is defined as the space occupied by a cone in 3-D plane. the volume of a cone is measured in cubic units such as cm³,m³ etc, and so on.
there are two types of cones:-
Q4. The volume of cone Formula?
The formula for volume of a cone is assumed to be 1/3 of a cylinder with the same radius of a base and height. The formula for volume of a cylinder is πr²h.
therefore,
the volume of a cone =1⁄3 πr²h where ‘r’ is the radius of base of a cone and ‘h’ is the height of a cone.
Question:
How do you find the volume of a cone with a base radius of 3 units and a height of a 6 unit?
Solution:
Radius of a base of a cone = 3 units.
height of a cone = 6 units.
Volume of a cone = 1/3 πr²h
= 1/3×22/7×3×3×6
= 22/7×18/1=396/7
= 56.571 (units approx.)³
Final answer. 56.571 (approx)
(note: we take a value of π=22/7 or 3.14)