Question

The diameter and height of a right circular cone are 7 cm and 12 cm respectively. find its volume.

Answer 1

84 is the answer to this question

Answer 2

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$\underline{SOLUTION}$ ➡

$Given, \\ \\ Diameter \: of \: the \: cone \: = 7 \: cm \\ \\So, \\ \\ Radius \: of \: the \: cone \: = \frac{7}{2} \: \: cm \\ \\ height \: \: of \: \: the \: \: cone\: = 12 \: cm$

$Therefore, \\ \\ Volumn \: of \: the \: cone = \frac{1}{3} \pi \: r {}^{2} h \\ \\ = \frac{1}{3} \times \frac{22}{7} \times (\frac{7}{2} ) {}^{2} \times 12 \: \: sq .\: cm \\ \\ = (\frac{1}{3} \times \frac{22}{7} \times \frac{49}{4 } \times 12 ) \: \: \: sq. \: cm \\ \\ = 154 \: \: sq .\: cm$

$\underline{ANSWER}$ ➡ $154 \: \: \: sq .\: \: cm$

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