Question

A juice vendor makes juice in a cylindrical jug of radius 10 cm and height 45 cm. If he serves juice in small cylindrical glasses of radius 3 cm and height 5 cm each, how many glasses of juice can he fill from the jug at a time if the jug is full?

• A. 50
• B. 100
• C. 150
• D. 200

Answer 1

The correct option is B

100

Given: Radius of jug (R) = 10 cm ; Height of jug (H) = 45 cm

Quantity of juice in the jug = Volume of the jug $=\pi R^{2}H$

Given: Radius of the glass (r) = 3 cm ; Height of the glass (h) = 5 cm

Quantity of juice in each glass = Volume of the glass $=\pi r^{2}h$

Let the number of glasses that can be filled = n

Hence Volume of the jug = n $\times$ volume of each glass

$\pi R^{2}H=n\times \pi r^{2}h$

$\pi \times 10\times 10\times 45=\pi \times 3\times 3\times 5$

$n=\frac{10\times 10\times 45}{3\times 3\times 5}=100$

Hence the number of glasses of juice that can be filled at a time from the jug = 100