Question

a cylinder and a cone are of the same base radius of the same height find the ratio of the volume of the cylinder to that of the cone

Answer 1

Answer:

since radius and height are same for cylinder and cone.

ratio of volume of cylinder to cone=

                                            =πr^2h/1/3πr^2h=3πr^2h/πr^2h=3.

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Answer 2

Answer:

Volume of cylinder : Volume of cone = 3 : 1

Step-by-step explanation:

$Volume \: of \: cylinder : Volume \: of \: cone \: = \: \frac{Volume \: of \: cylinder}{Volume \: of \: cone }$

$= \: \frac{πr²h}{1/3 \: πr²h}$

$cancelling \: π r²h \: in \: numerator \: and \: denominator$

$= \: \frac{1}{1/3}$

$= \: \frac{3 \times 1}{1}$

$= \frac{3}{1}$

$= 3:1$