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Maharashtra State BoardSSC (English Medium) 10th Standard

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 (4) = 6 cm The volume of - Geometry Mathematics 2

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Question

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 (4) = 6 cm

The volume of a cone = `square`      ...(Formula)

= `1/3 xx 22/7 xx square xx 6`

= `1/3 xx 22/7 xx square xx 6`

∴ the volume of the cone = `square` cm3.

Activity
Sum
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Solution

Here, radius (r) = 7 cm, height (4) = 6 cm

The volume of a cone = \[\boxed{\frac{1}{3}πr^2h}\]

= \[\frac{1}{3} × \frac{22}{7} × \boxed{(7)^2} × 6\]

= \[\frac{1}{3} × \frac{22}{7} × \boxed{49} × 6\]

∴ the volume of the cone = \[\boxed{308}\] cm3.

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