Question

the volume of a cylinder is
$300m {}^{2}$
then the volume of a cone having the same radius and height as that of the cylinder is
​

Answer 1

volume of cylinder = 300m

pie r^2 h = 300

volume of cone = 1

----- pie r^2 h

3

= 1

---- ×300

3

volume of cone = 100 m cube

Answer 2

Given :- The volume of a cylinder is 300 m³ .

To Find :- The volume of a cone having the same radius and height as that of the cylinder is ?

Answer :-

Let us assume that,

• Radius of cylinder = Radius of cone = r m .
• Height of cylinder = Height of cone = h m .

we know that,

• Volume of cylinder = πr²h
• Volume of cone = (1/3)πr²h .

so,

→ Volume of cylinder = 300m³

→ πr²h = 300m³ ----------- Eqn.(1)

then,

→ Volume of cone = (1/3)πr²h

putting value of Eqn.(1) ,

→ Volume of cone = (1/3) * 300

→ Volume of cone = 100 m³ (Ans.)

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