Question

Mary serves juice to her guests in cylindrical cups of radius 7 cm having a height of 10 cm. If she serves 25 cups, she will need cm${}^3$ of juice.

• A. 1540
• B. 3850
• C. 77000
• D. 38500

Answer 1

The correct option is D 38500

Given,

Radius of cylindrical cup, r = 7 cm

Height of cylindrical cup, h = 10 cm

$\text{We know, volume of a cylinder}=\pi r^{2}h$

So, putting values we get:
$\text{Volume of 1 cylindrical glass}=\frac{22}{7}\times 7^2\times 10$
$=1540c{m}^3$

Now, Mary has served 25 juice cups.

So, total volume of juice Mary needs = Volume of each cup × total number of cups

$=1540\times 25=38500{\text{cm}}^3$