Question

find ratio of a right circular cone and cylinder of same radius and height​

Answer 1

Step-by-step explanation:

$\implies$ $\sf{Ratio={\Large\frac{right\:circular\:cone}{cylinder}} }$

$\implies$ $\sf{{\Large\frac{πr^2\frac{h}{3}}{πr^2h}} }$

$\implies$ $\sf{{\Large\frac{\frac{h}{3}}{h}} }$

$\implies$ $\sf{{\Large\frac{h}{3}×\frac{1}{h}} }$

$\implies$ $\sf{{\Large\frac{1}{3}} }$

$\implies$ $\boxed{\sf{Ratio= 1:3}}$

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Answer 2

Ratio of volume right circular cone and cylinder of same radius and height is 1 : 3.

• Formula to find volume of a right circular cone is $\frac{1}{3}$πr²h.
• Formula to find the volume of a cylinder with radius 'r'and height 'h' is πr²h.
• Now we need to find the ratio of the volume of right circular cone and cylinder with same height and radius
• $\frac{Volume of cone}{Volume of cylinder}$ = $\frac{\frac{1}{3} \pi r^{2}h}{\pi r^{2}h }$
• Ratio = 1 : 3