Mensuration Practice Test 5

Question : 16 of 40

Marks: +1, -0

Find the ratio of lateral surface area of cone
and hemisphere with equal radius and height.

Solution:

Lateral surface area of the cone = πrl
l =

√{r^2+h^2}

√{r^2+r^2}

l =

√2 r

Lateral surface area of the cone =

π (r)(√2 r)

Lateral surface area of the hemisphere =

2πr^2

Required ratio =

{πr(√2 r)}/{2 πr^2}

√2/2

1/√2

= 1 :

√2

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