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A cylindrical vessel of diameter 84 cm and height 18 cm contains milk. This milk is to be filled in cylindrical tumblers of radius 7 cm and height 6 cm. Find the number of tumblers that can be filled with milk.
Asked by Topperlearning User | 13 Oct, 2017, 02:14: PM
answered-by-expert Expert Answer

Given: Diameter of cylindrical vessel=84 cm ⇒ radius of cylindrical vessel (R) = 42 cm

Height of cylindrical vessel (H) = 18 cm

Let V denote the volume of the cylindrical vessel.

                        

begin mathsize 12px style straight V space equals space πR squared straight H straight V space equals space 22 over 7 cross times 42 cross times 42 cross times 18 straight V space equals space 99792 space cm cubed end style

Radius of cylindrical tumbler (r) = 7 cm

Height of cylindrical tumbler (h) = 6 cm

Let V1 denote the volume of the cylindrical tumbler.

                        

begin mathsize 12px style straight V space equals space πr subscript 1 squared straight h straight V subscript 1 space equals space 22 over 7 cross times 7 cross times 7 cross times 6 straight V subscript 1 space equals space 924 space cm cubed end style

Let ‘n’ number of tumblers can be filled.

Thus, 108 tumblers can be filled with the milk.

Answered by | 13 Oct, 2017, 04:14: PM

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