Question

the ratio of the total surface area to the lateral surface area of a cylinder whose radius is 20cm and height 60cm is ​

Answer 1

Answer:

Answer

Let the total surface area and lateral surface area are S

1

and S

2

respectively.

S

1

=2πr

2

+2πrh

and S

2

=2πrh

Thus,

S

2

S

1

=

2πrh

2πr(r+h)

=

h

r+h

=

60

20+60

=

60

80

=

3

4

Step-by-step explanation:

FOR MORE CONVIENCE PREFER TO THE ATTACHMENT

Answer 2

Answer:

Let the total surface area and latent surface area be S1 and S2.

We know that :-

S1=2πr²+2πrh.

S2=2πrh.

$\frac{s1}{s2}$

$\frac{2\pi \: r \: (r + h)}{2\pi \: rh}$

$\frac{r + h}{h}$

So,

Putting in the furmula

$\frac{20 + 60}{60}$

$\frac{80}{60}$

$\frac{4}{3}$