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& metalic discs of radius 0.75cm and thickness 0.2cm are

melted to obtain 508.68 cm² of metal. Find the number of
discs melted?

1 Answer

7 votes

Answer:

Explanation:

The total area of metal discs is given by:

total area = area of one disc * number of discs

The area of one disc is given by:

A = 2πrh + πr^2

where r is the radius and h is the thickness.

Substituting the given values, we get:

A = 2π(0.75 cm)(0.2 cm) + π(0.75 cm)^2

= 0.3π cm² + 0.5625π cm²

= 0.8625π cm²

The number of discs melted can be found by dividing the total area by the area of one disc:

number of discs = total area / area of one disc

number of discs = 508.68 cm² / 0.8625π cm²

number of discs ≈ 185.

User Geo V L
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