Question

12. 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 1

Answer:

The ratio between the total surface area to its Curved Surface Area is 22:15.

Step-by-step explanation:

Given, height = 7.5 cm

and, Radius = 3.5 cm

Total Surface Area = 2×22/7×r×(h+r)

= 2×22/7×3.5×(7.5+3.5)

= 2×22/7×3.5×11

= 2×22/70×35×11

= 2×22/10×5×11

= 22×11 = 242

Curved Surface Area = 2×22/7×r×h

= 2×22/7×3.5×7.5

= 2×22/700×35×75

= 2×22/100×5×75

= 2×22/4×5×3

= 22/2×5×3

= 11×15 = 165

Ratio = 242:165 = 22:15 (answer).

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