Mensuration Practice Test 10

Question : 7 of 40

Marks: +1, -0

A cone and a hemisphere stand on equal base and have the same height. The ratio of their whole surfaces is:

Solution:

Let radius and height be same = 2 cm.
Slant height = l =

√{r^2+h^2}

√{2^2+2^2}

√{4+4}

√8

2√2

Ratio of their surface areas
=

πr(1+r) : 3πr^2

π.2 (2√2+2):3π(2)^2

4(√2+1) : 12

(√2+1):3

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