A milkman was serving his customers using two types of mugs A and B of inner diameter 5 cm to serve the customers. The height of the mugs is 10 cm.
He decided to serve the customers in ‘B’ type of mug.
(a) Find the volume of the mugs of both types.
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Answer:
Step-by-step explanation:
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
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