Question

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

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Answer:

Using the formula:

Total surface area of cylinder(S) is given by:

S = 2\pi r(h+r)S=2πr(h+r)

Lateral surface area of cylinder(L) is given by:

L = 2\pi rhL=2πrh

where r is the radius and h is the height of the cylinder respectively.

We have to find the ratio to the total surface area to the lateral surface area of a cylinder.

Given:

radius(r) = 20 cm

height(h) = 60 cm

Ratio of total surface area to lateral surface area of cylinder is:

\frac{\text{Total surface area of cylinder}}{\text{Lateral surface area of cylinder}}

Lateral surface area of cylinder

Total surface area of cylinder

then;

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

2πrh

2πr(h+r)

=

h

h+r

Substitute the value we have;

⇒\frac{60+20}{60}=\frac{80}{60}=\frac{4}{3}

60

60+20

=

60

80

=

3

4

⇒Ratio of total surface area to lateral surface area of cylinder is 4 : 3

therefore, the ratio to the total surface area to the lateral surface area of a cylinder whose radius is 20 cm and height is 60 cm is 4: 3