Question

Juice is filled upto a height of 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 ₹ 3, how much money can be earned by selling the juice?

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

Answer 1

The correct option is D

₹ 300

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

Volume of 1 cylindrical cup
$=\pi r^{2}h$
$=\pi \times \left(6^2\right)\times 16$

Now,
Total volume of juice in the cylindrical container
= Volume of 1 cylindrical cup $\times$ Number of cups (n)
$\Rightarrow$ $\pi \times {30}^2\times 64$
= Number of cups (n) × $\pi \times 6^2\times 16$

$\Rightarrow n=\frac{\pi \times {30}^2\times 64}{\pi \times 6^2\times 16}$ = $\frac{57600}{576}$
$\Rightarrow$ Number of cups (n) = 100.

Hence, the net amount earned
= Rate $\times$ Number of cups
= ₹ 3 $\times$ 100
= ₹ 300.