Question

At a Ramzan Mela, a stall keeper in one
of the food stalls has a large cylindrical vessel of base
radius 15 cm filled up to a height of 32 cm with orange
juice. The juice is filled in small cylindrical glasses (see
Fig. 13.27) of radius 3 cm up to a height of 8 cm, and
sold for 15 each. How much money does the stall
keeper receive by selling the juice completely?​

Answer 1

Step-by-step explanation:

volume of large cylindrical base =

$\pi \ r {}^{2} h$

22/7*15²*32. = 22628.6cm³

volume of small cylindrical =

$\pi \ r {}^{2} h$

22/7*3²*8 = 226.3cm³

total no of glass of juice sold = 22628.6cm³/226.3cm³ = 99.9 = 100 glass

cost of 100 glass = 15*100 = ₹1500

Answer 2

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SOLUTION:-

The Volume of Juice in the vessel

$\sf{ = volume \: of \: the \: cylindrical \: vessel}$

$\sf{ = \pi { R}^{2} H}$

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

$\sf{ = \pi \times 15 \times 15 \times 32 {cm}^{3} }$

Similarly, the volume of Juice each glass can hold $\sf{ = \pi {r}^{2} h}$

(Where r and h are taken as the radius and height of each glass)

$\sf{ = \pi \times 3 \times 3 \times 8 {cm}^{3} }$

So, Number of glasses of juice that are sold

$\sf{ = \frac{ volume \: of \: the \: vessel}{volume \: of \: each \: glass} }$

$\sf{ = \frac{\pi \times 15 \times 15 \times 32}{\pi \times 3 \times 3 \times 8} }$

$\sf{ = 100}$

•Therefore, amount recieved by the stall keeper $\sf{ = 15 \times 100}$

$\sf{ ⠀⠀⠀⠀⠀= 1500}$

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