uitd 0l &glll lreular cone with radius 6 cm and height 8 cm.9. The bas

1.	uitd 0l &glll lreular cone with radius 6 cm and height 8 cm.9. The base radii of two right circular cone of the same height are in the ratio 3:5. Find the ratioof their volumes.
Answer» Solution :- Let there be cone 1 and cone 2 respectively. Let the r and R be the radii of the two right circular cones respectively. Ratio of base radii = 3 : 5 Volume of cone = 1/3πr²h ⇒Volume of cone 1/Volume of cone 2 ⇒ (1/3πr²h)/(1/3πR²h) ⇒ (1/3π3²h)/(1/3π5²*h) = 3²/5² = 9/25 = 9 : 25 So, the ratio of their volumes is 9 : 25 thanks

uitd 0l &glll lreular cone with radius 6 cm and height 8 cm.9. The base radii of two right circular cone of the same height are in the ratio 3:5. Find the ratioof their volumes.

Answer»

Solution :-

Let there be cone 1 and cone 2 respectively.

Let the r and R be the radii of the two right circular cones respectively.

Ratio of base radii = 3 : 5

Volume of cone = 1/3πr²h

⇒Volume of cone 1/Volume of cone 2

⇒ (1/3*πr²h)/(1/3πR²h)

⇒ (1/3*π*3²*h)/(1/3*π*5²*h)

= 3²/5²

= 9/25

= 9 : 25

So, the ratio of their volumes is 9 : 25

thanks