Question

If the volume of a Cylinder is 300cm3
,then volume of the cone of same base and height is :-

A) 300cm3

B) 200cm3

C) 100cm3

D) 50cm3​

Answer 1

Answer:

A) 300cm3 is the correct answer

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

If the volume of a Cylinder is 300 cm³

,then volume of the cone of same base and height is :-

A) 300 cm³

B) 200 cm³

C) 100 cm³

D) 50 cm³

EVALUATION

Let base and height of cone and cylinder are r cm and h cm respectively

Now it is given that the volume of a Cylinder is 300 cm³

$\displaystyle \sf{ \implies \: \pi {r}^{2} h = 300}$

Now the volume of the cone

$\displaystyle \sf{ = \frac{1}{3} \: \pi {r}^{2} h \: \: \: {cm}^{3} }$

$\displaystyle \sf{ = \frac{1}{3} \times 300 \: \: \: {cm}^{3} }$

$\displaystyle \sf{ = 100 \: \: \: {cm}^{3} }$

FINAL ANSWER

Hence the correct option is D) 50 cm³

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