1.

Some Cylindrical glasses of Radius 7 cm and height 4 cm are filled with wine from a conical tank of radius 21 cm and height 15 cm. Find the number of glasses that can be filled with wine of conical tank.(Answer should be in integer)1. 122. 143. 164. 11

Answer» Correct Answer - Option 4 : 11

Given:

For Cylinder,

Radius (r) = 7 cm

Height (h) = 4 cm

For Cone,

Radius (R) = 21 cm

Height (H) = 15 cm

Formula Used:

Volume of cone = (1/3)πR2H

Volume of cylinder = πr2h

Concept Used;

Volume of cone = n × Volume of cylinder, where n is the number of cylindrical glasses

Calculation:

Let the number of cylindrical glasses be n

Using concept,

(1/3)πR2H = n × πr2h

(1/3) × (21)2 × 15 = n × (7)2 × 4

⇒ n = (21 × 21 × 15)/(7 × 7 × 4 × 3)

⇒ n = 11.25

We have to take integer as our answer

∴ The number of glasses filled with wine is 11.


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