Question

FIND THE VOLUME OF THE CONE WHOSE RADIUS = 4 CM AND HEIGHT = 5 CM
OPTION A - 12π CM³
OPTION B - 14π CM³
OPTION C - 18π CM³
OPTION D - 20π CM³

CHOOSE THE CORRECT OPTION WITH EXPLAINATION
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Answer 1

Answer:

Given :-

• A volume whose radius is 4 cm and height is 5 cm.

To Find :-

• What is the volume of the cone.

Formula Used :-

$\clubsuit$ Volume of Cone Formula :

$\bigstar \: \: \sf\boxed{\bold{Volume_{(Cone)} =\: \dfrac{1}{3}{\pi}r^2h}}\: \: \: \bigstar$

where,

• π = Pie or 22/7
• r = Radius
• h = Height

Solution :-

Given :

• Radius = 4 cm
• Height = 5 cm

According to the question by using the formula we get,

$\implies \sf\bold{Volume_{(Cone)} =\: \dfrac{1}{3}{\pi}r^2h}$

$\implies \sf Volume_{(Cone)} =\: \dfrac{1}{3} \times {\pi} \times (4)^2 \times 5$

$\implies \sf Volume_{(Cone)} =\: \dfrac{1}{3} \times {\pi} \times (4 \times 4) \times 5$

$\implies \sf Volume_{(Cone)} =\: \dfrac{1}{3} \times {\pi} \times 16 \times 5$

$\implies \sf Volume_{(Cone)} =\: \dfrac{1}{3} \times {\pi} \times 80$

$\implies \sf Volume_{(Cone)} =\: \dfrac{1 \times 80}{3} \times {\pi}$

$\implies \sf Volume_{(Cone)} =\: \dfrac{80}{3} \times {\pi}$

$\implies \sf\bold{Volume_{(Cone)} =\: 26.67{\pi}\: cm^3}$

$\therefore$ The volume of the cone is 26.67π cm³ .

[Note :- There is some mistakes with your options because the above step is correct. ]