# 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. - Mathematics

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.

#### Solution

For cylinder, total surface Area = 2πr (h +r )
Curved surface area = 2πrh

"Total surface area"/"Curved surface area" = (2πr(h+r))/(2πrh) = (h+r)/h

"Total surface area"/"curved surface area" = (7.5 +3.5)/7.5=11/7.5

(11×15)/7.5 = 22/15 =22:15

Concept: Surface Area of Cylinder
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 19 Surface Areas and Volume of a Circular Cylinder
Exercise 19.1 | Q 6 | Page 8

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