Question

How many cylindrical glasses of 3cm base radius and height 8cm can be refilled from a cylindrical vessel of base radius 15cm which is filled upto a height of 32 cm.

Answer 1

3136 is answer.......

Answer 2

Answer:

100

Step-by-step explanation:

Radius of cylindrical glass = 3 cm

Height of  glass = 8 cm

Volume of cylinder = $\pi r^{2} h$

So, volume of cylindrical glass=  $\pi (3)^{2}\times 8$

                                                  =  $\pi 9\times 8$

                                                  =  $72 \pi$

Radius of cylindrical vessel = 15 cm

Height of cylindrical vessel = 32 cm

So, volume of cylindrical vessel =  $\pi (15)^{2}\times 32$

                                                     =  $\pi 225\times 32$

                                                  =  $7200 \pi$

No. of cylindrical glasses can be refilled from cylindrical vessel :

=$\frac{\text{Volume of cylindrical vessel}}{\text{Volume of cylindrical glass}}$

=$\frac{7200 \pi}{72 \pi}$

=$100$

Hence 100 cylindrical glasses can be refilled from the cylindrical vessel .