Mensuration Practice Test 6

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Question : 19 of 40

Marks: +1, -0

The volume of a solid hemisphere is 19,404

cm^3

. Its total surface area is:

4,158 $cm^2$
2,858 $cm^2$
1,738 $cm^2$
2,038 $cm^2$

Solution:

Volume of the solid hemisphere =

2/3 πr^2

2/3 × {22}/7 × r^3

= 19404

r^3

=

19404 × 7/{22} × 3/2

r^3

= 9261 cm
r = 21 cm.
Total surface area of the solid hemisphere
=

3πr^2

=

3×{22}/{7} × 21 × 21

= 4158

cm^2

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