Question

A juice glass is cylindrical in shape with hemispherical raised up portion at the bottom. The inner diameter of glass is 10 cm and its height is 14 cm. Find the capacity of the glass. (use π = 3.14)

Answer 1

Given that,

Diameter of glass = 10 cm

Height of glass = 14 cm

 

Capacity of glass = Volume of cylinder − Volume of hemisphere

We have,

Radius of cylinder or hemispherical part, r = 5 cm

Height of cylinder, h = 14 cm

So,

Capacity of glass = `pir^2h - (2/3) xx pir^3`

= `pir^2(h - (2r)/3)`

= `3.14 xx (5)^2 xx (14 - 10/3)`

= `3.14 xx 25 xx 32/3`

= 837.33 cm³

So, the capacity of glass is 837.33 cm³.