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The ratio of total surface area to the lateral surface area of a cylinder with base radius 70cm and height 30 cm is

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3 : 7

7 : 3

10 : 3

3 : 10

answer is C.

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Detailed Solution

For a cylinder,

Base radius, r $=$ 70 cm

Height ,h $=$ 30 cm

$\frac{T . S . A}{L . S . A} = \frac{2 π r (r + h)}{2 π r h}$

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

$= \frac{70 + 30}{30}$

$= \frac{100}{30}$

$= \frac{10}{3}$

$∴ T . S . A : L . S . A = 10 : 3$

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