Question

Height of a cylindrical barrel is 50 cm and radius of its base is 20 cm. Anurag started to fill the barrel with water, when it was empty, by a cylindrical mug. The diameter and height of the mug was 10 cm and 15cm respectively. How many minium number of mugs will be required for the barrel to overflow?

Answer 1

Answer:

Hope it helps.......

Answer 2

Answer:

254 mugs are required for the barrel to overflow.

Step-by-step explanation:

Given : Height of a cylindrical barrel is 50 cm and radius of its base is 20 cm. Anurag started to fill the barrel with water, when it was empty, by a cylindrical mug. The diameter and height of the mug was 10 cm and 15cm respectively.

To find : How many minimum number of mugs will be required for the barrel to overflow?

Solution :

Volume of cylinder with base radius 'r' and height 'h' is give by

$V =\pi r^2h$

Volume of the barrel,

r = 20 cm

h = 50 cm

$V_1 =\pi\times 20^2\times 50$

$V_1 =20000\pi$

Volume of cylindrical mug,

r = 10/2 = 5 cm

h = 3.15 cm

$V_2=\pi\times 5^2\times 3.15$

$V_2=315\pi$

Number of mugs will be required for the barrel to overflow

$n=\frac{V_1}{V_2}$

$n=\frac{20000\pi}{315\pi}$

$n=253.97$

Therefore, 254 mugs are required for the barrel to overflow.