find the volume of largest right circular cone that can be fitted in a cibe whose edge is 21cm
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Answered by
10
As edge=21 cm
⇒ diameter = height = 21cm (largest cone)
∴ Volume = 1/3 × π rrh
= 1/3 × 22/7 ×21/2 ×21/2× 21
=2425.5 sq.cm
⇒ diameter = height = 21cm (largest cone)
∴ Volume = 1/3 × π rrh
= 1/3 × 22/7 ×21/2 ×21/2× 21
=2425.5 sq.cm
Answered by
7
The diameter and the height of a cone that can be fit in a cube of edge 21cm = 21cm
∴ Diameter = 21cm
radius = 21/2 cm
∴ Height = 21cm
Volume of the cone = 1/3 πr²h
= 1/3 × 22/7 × (21/2)² × 21 cm³
= 22/21 × 441/4 ×21 cm³
= 22 × 441/4 cm³ [ 1/21 × 21 = 1]
= 9702/4
= 2425.5 cm³
∴ Diameter = 21cm
radius = 21/2 cm
∴ Height = 21cm
Volume of the cone = 1/3 πr²h
= 1/3 × 22/7 × (21/2)² × 21 cm³
= 22/21 × 441/4 ×21 cm³
= 22 × 441/4 cm³ [ 1/21 × 21 = 1]
= 9702/4
= 2425.5 cm³
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