Volumes Practice Test 3

Question : 35 of 40

Marks: +1, -0

Find the number of coins 1.5 cm in diameter and 0.2 cm thick to be melted to form a right circular cylinder, whose height is 10 cm and diameter 4.5 cm.

Validate

Solution:

Let number of coins be n; then
n × π ×

({1.5}/2)^2

× 0.2 =

π({4.5}/2)^2

× 10
⇒ n ×

{2.25}/4

× 0.2 =

{20.25}/4

× 10
∴ n =

{20.25×10}/{2.25×0.2}

= 450

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