Question

26. The ratio of total surface area to the lateral surface area of a cylinder with base radious 80cm and height
20cm is​

Answer 1

Answer:

The Ratio of the Total Surface Area to the Lateral Surface Area of a Cylinder with Base Radius 80 Cm and Height 20 Cm is Concept: Concept of Surface Area, Volume, and Capacity.

Answer 2

${ \underbrace{ \mathfrak{ {Given : }}}}$

h (height) of the cylinder = 20cm.

r (radius) of the cylinder = 80cm.

${ \underbrace{ \mathfrak{{ To \: find : }}}}$

The ratio of T. S. A. (total surface area) And also,

L. S. A. (lateral surface area)

${ \underbrace{ \mathfrak{ {Solution : }}}}$

We know that,

➡ L. S. A. (lateral surface area) = 2πrh

And also,

➡ T. S. A. (total surface area) = 2πr(r + h)

Forming into ratio :

➠ 2πrh : 2πr(r + h)

➠ $\bf{ \frac{ \cancel{2\pi r}h}{ \cancel{2\pi r}(r + h)} }$

➠ $\bf \: \frac{h}{r + h}$

➠ $\bf\frac{20}{80 + 20}$

➠ $\bf { \cancel{\frac{20}{100}} }$

➠ $\bf \frac{1}{5}$

➠ $\bf 1\ratio 5 \: ans.$

${ \underbrace{ \textbf{ \textsf{Required \: answer : }}}}$

${ \underline{ \boxed{ \textbf {\textsf{The ratio of L. S. A. and T. S. A. is 1 : 5 ans. }}}}}$