The inner diameter of glass is 7cm, and it has a raise portion in the bottom in the shape of a hemisphere as shown in the figure. If the height of the glass is 16 cm, find the apparent capacity and the actual capacity of the glass.

Question

Philoid · Accepted Answer

Given the inner diameter of the glass = 7cm

So, the radius of the glass =

Height of the glass = 16cm

The volume of the cylindrical glass = πr²h

= 616cm³

Now, radius of the hemisphere = Radius of the cylinder =r = 3.5cm

Volume of the hemisphere

= 89.83 cm³

Now,

Apparent capacity of the glass = Volume of cylinder = 616cm³

The actual capacity of the glass

= Total volume of cylinder – Volume of hemisphere

= 616 – 89.83

= 526.17cm³

Hence,

Apparent Capacity of the glass = 616cm³

and actual capacity of the glass = 526.17cm³