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Find the ratio between the total surface area of a cylinder to its curved surface area given that its height and radius are 7.5 cm and 3.5 cm.

Answer:

**Solution:**

The area of the cylinder is determined by adding the areas of its two circular bases and curved surface.

Given radius of the cylinder, r = 3.5 cm

Height of the cylinder, h = 7.5 cm

Total surface area = 2π r(r+h)

Curved surface area = 2π rh

Ratio of Total surface area to curved surface area = 2π r(r+h)/ 2π rh

= (r+h)/h

= (3.5+7.5)/7.5

= 11/7.5

= 22/15

**Hence the required ratio is 22:15.**

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