Question

31. The inner diameter of a glass is 7 cm and it
has a raised 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.​

Answer 1

Answer:

526.1 7cm^3

Step-by-step explanation:

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