At a Ramzan Mela, a stall keeper in one of the food stalls has a large cylindrical vessel of base radius 15cm filled up to a height of 32cm with orange juice. The juice is filled in small cylindrical glasses of radius 3cm up to height 8cm amd sold for 3 rupees each. Find the volume of large cylindrical vessel
Find the volume of small cylindrical vessel
The number of grasses that are sold
How much money did the shop keeper receive by selling the juice completely (PLZ STEP BY STEP NCERT ANSWER)

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Step-by-step explanation:

Solution :-

The volume of juice in the vessel

⠀⠀⠀⠀⠀⠀= volume of cylindrical vessel

⠀⠀⠀⠀⠀⠀= π{R}^{2}R

2

H

(where R and H are taken as the radius and height respectively)

⠀⠀⠀⠀⠀⠀= π × 15 × 15 ×32 {cm}^{3}cm

3

Similarly the volume of juice each glass can hold

⠀⠀⠀⠀⠀⠀= π{r}^{2}r

2

h

( where are and H are taken as the radius and height respectively of each glass)

⠀⠀⠀⠀⠀⠀= π × 3 × 3 × 8 {cm}^{3}cm

3

So number of glasses of juices that are sold

⠀⠀⠀⠀⠀⠀= \dfrac{volume\:of\:vessel}{volume\:of\:glass}

volumeofglass

volumeofvessel

⠀⠀⠀⠀⠀⠀= \dfrac{π\:×\:15\:×15\:×\:32}{π\:×\:3\:×3\:×\:8}

π×3×3×8

π×15×15×32

⠀⠀⠀⠀⠀⠀= 100

∴ amount received by the stall keeper

⠀⠀⠀⠀⠀⠀⠀⠀⠀= 15 × 100

⠀⠀⠀⠀⠀⠀⠀⠀{\boxed{\large{\bold{=\:₹1500

=₹1500

⠀

a

step-by-step explanation: