Question

A juice seller has two types of glasses to serve juice. • A cylindrical glass having height 7 cm and radius 2 cm. A cuboidal glass having length 4 cm, breadth 3 cm and height 7 cm. . (i) Find the volume of cylindrical glass. (a) 88 cm (b) 84 cm (c) 616 cm (d) 308 cm Calculate the volume of cuboidal glass. (a) 616 cm (b) 308 cm (c) 84 cm (d) 88 cm (111) Difference between the volume of cylindrical glass and cuboidal glass is (a) 528 cm (b) 532 cm (c) 4 cm (d) 308 cm (iv) The capacity of 1 cuboidal glass is ml. a) 88000 (b) 84000 (C) 88 (d) 84 3 3​

Answer 1

REF.Image.

Actual capacity of Glass= Volume of cylinder - Volume of hemisphere

⇒ volume of cylinder=πr

2

h

where r=

2

D

=

2

5

cm;

h=10cm;D=3.14

⇒3.14×(

2

5

)

2

×10

⇒3.14×6.25×10

⇒196.25cm

3

Volume of Hemisphere ⇒

3

2

πr

3

(r=

2

5

)

⇒

3

2

×3.14×(

2

5

)

3

⇒

3

2

×3.14×15.625

⇒32.7cm

3

∴ Actual capacity 196.25−32.7=163.55cm

3

and apparent capacity ⇒196.25cm

3