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Complete the following activity to find the volume of a cone if the radius of its base is 7 cm and its perpendicular height is 6 cm.Activity :Here, radius (r) = 7 cm, height (h) = 6 cm\(\therefore\) Volume of cone = ____ ....... (Formula)\(= \dfrac{1…

Q.2 (A)(3) Complete the following activity to find the volume of a cone if the radius of its base is 7 cm and its perpendicular height is 6 cm.

Activity :

Here, radius (r) = 7 cm, height (h) = 6 cm

\(\therefore\) Volume of cone = ____ ....... (Formula)
\(= \dfrac{1}{3}\times\dfrac{22}{7}\times\) ____ \(\times 6\)
\(= \dfrac{1}{3}\times\dfrac{22}{7}\times\) ____ \(\times 6\)
\(\therefore\) Volume of cone = ____ cm3

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Answer: the blanks are \(\frac{1}{3}\pi r^2 h\), \(r^2\), \(49\) and \(308\).

Volume of a cone \(= \dfrac{1}{3}\pi r^2 h = \dfrac{1}{3}\times\dfrac{22}{7}\times 7^2 \times 6 = \dfrac{1}{3}\times\dfrac{22}{7}\times 49 \times 6\).

\(= \dfrac{1}{3}\times 22 \times 7 \times 6 = 308\) cm³.

Doubtly AI · 25 Oct 2026 AI-verified · Oct 2026 Report
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