Question

17. At a Ramzan Mela, a stall keeper in one of the food stalls has large cylindrical vessel of base radius
15cm filled up to a height of 32 cm with orange juice. The juice is filled in small cylindrical glasses
of radius 3cm up to height of 8cm, and sold for *3 each. Based on this answer the following questions:​

Answer 1

Answer:

1. a) 7200π

2. c) 72π

3. c) 100

4. c) Rs 300

5. a) 8100π

Step-by-step explanation:

Given,

Radius of cylindrical vessel, R = 15 cm

Height of cylindrical vessel, H = 32 cm

Radius of cylindrical glass, r = 3 cm

Height of cylindrical glass, h = 8 cm

1. Volume of juice in the vessel = Volume of cylindrical vessel

= πR²H = π × (15)² × 32 = 7200π

2. Volume of juice each glass can hold = Volume of cylindrical glass

= πr²h = π × (3)² × 8 = 72π

3. Number of glasses that are sold = Volume of juice in the vessel ÷ Volume of cylindrical glass

= 7200π / 72π = 100

4. Amount received by the stall keeper = Cost of one glass × Number of glasses

= 3 × 100 = 300

5. If height of vessel is 36 cm,

Volume of vessel = πR²H

= π × (15)² × 36 = 8100π