Question

Juice is filled upto 64 cm in a cylindrical container of radius 30 cm. It is served in small cylindrical cups of radius 6 cm and height 16 cm. If each cup is sold at Rs. 3, how much money can be earned by selling the juice?

• A. Rs 600
• B. Rs 100
• C. Rs 900
• D. Rs 300

Answer 1

The correct option is D

Rs 300

Total volume of the cylindrical container $=\pi \times (r{)}^2\times h=\pi \times (30{)}^2\times 64$

$\Rightarrow$Volume of cylindrical cups $=\pi \times 6^2\times 16$

$\Rightarrow$ $\pi \times {30}^2\times 64$ = Number of cups × $\pi \times 6^2\times 16$

$=\frac{\pi \times {30}^2\times 64}{\pi \times 6^2\times 16}$ = Number of cups

$\Rightarrow$ Number of cups = 100.

Hence, the net amount earned = Rs. 3 × 100 = Rs. 300.