Question

The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm. How many litres of water can it hold? (1000 cm3 = 1l)

Answer 1

Answer:

The cylindrical vessel can hold 34.65 litres of water.

Step-by-step explanation:

Step 1 (Finding the Radius)

Circumference = 132cm

• Since, circumference of the base = 132 cm
• It implies, 132 = 2 pi r
• It implies, 132 = 2 * (22/7) * r
• It implies, (66 * 7/22) = r
• It implies, r = 21 cm.

Step 2 (Finding the Base Area)

• Area = pi r^2
• It implies, area = (22/7) * 21 * 21
• It implies, area = 1386 cm^2

Step 3 (Finding the Volume)

Height = 25 cm

• Volume = pi r^2 h
• It implies, volume = 1386 * 25
• It implies, volume = 34650 cm^3

Step 4 (Converting cm^3 into litres)

• Since, 1000 cm^3 = 1 litre
• It implies, 1 cm^3 = (1/1000) litres
• Therefore, 34650 cm^3 = (34650/1000) litres
• Hence, 34650 cm^3 = 34.65 litres

Therefore, the vessel can hold 34.65 litres of water.