Question

How many cylindrical glasses of diameter 8 cm and length 10 cm are required to fill a cylindrical bottle of radius 10 cm and height 32 cm?

• A. 20
• B. 5
• C. 10
• D. 15

Answer 1

The correct option is A 20

Given, Solid: Cylinder
Length of glass, $h=10\text{cm}$
Radius of glass, $r=\frac{8}{2}=4\text{cm}$
Length of bottle, $H=32\text{cm}$
Radius of bottle, $R=10\text{cm}$

Let, number of glasses required to fill bottle be $n$

$\text{Volume of water bottle}=n\times \text{Volume of glass}n\pi r^{2}h=\pi R^{2}Hn{r}^{2}h=R^{2}Hn\times 4^2\times 10={10}^2\times 32n=\frac{100\times 32}{16\times 10}=20$

Number of glasses required to fill bottle are 20.