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 3 15cm respectively. How many minium number of mugs will be required for the barrel to overflow?

Answer 1

Answer:

Step-by-step explanation:

We know: Volume of cylinder is, V=$\pi r^{2}h$

here r= radius and h is height;

Volume of Barrel is =$\pi 20^{2}*50$

Vol. of Barrel=62800 cm$x^{3\\}$

Now calculating volume of mug=$\pi 5^{2} *3.15$

Given that diameter=10cm {radius is 5cm}=247.27;

Number of mugs will be required for the barrel to overflow >$\frac{62800}{247.27}$=253.9

Approx 254 mugs of water require to overflow the barrel

Answer 2

Answer:

254 mugs  are required for the barrel to overflow

Step-by-step explanation:

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

V =πr²h

To find the volume of cylindrical barrel

r = 20 cm

h = 50 cm

Volume V₁= πr²h = π x 20 x 20 x 50 = 20000π

To find the volume of cylindrical mug

r = 10/2 = 5 cm

h = 3.15 cm

Volume V₂= πr²h = π x 5 x 5 x 3.15 = 315π

To find number of mugs will be required for the barrel to overflow

number of mugs  = V₁/V₂  = 20000π /315π  = 253.97

Therefore 254 mugs  are required for the barrel to overflow