Question

A milkman was serving his customers using two types of mugs of inner diameter 5 cm to serve the customers. The height of the mugs is 10cm. He decided to serve the customers in 'B'type of mug.Find the volumes of both the mugs.

Answer 1

Answer:

Volume of A = 186.44 cm³ and Volume B = 129.83 cm³

Step-by-step explanation:

We know that r = d/2 = 5 cm

Mug A:

V a = π r² h - 2/3 π r³ =

=  196.25 - 2/3 · 3.14 · 2.5³ = 196.25 - 32.71 = 165.54 cm³

Mug B :

V b = π r² h - 1/3  π r² h =

= 196.25 - 1/3  ·  3.14  ·  2.5²  · 10 = 196.25 - 65.42 = 129.83 cm³