Mensuration Practice Test 2

Question : 10 of 40

Marks: +1, -0

The volume of a right circular cone is 1,232

cm^3

and its vertical height is 24 cm. Its curved surface area is:

Solution:

Volume of the right circular cone = 1,232

1/3πr^2h

= 1232

r^2

= 1232 ×

7/{22} × 3/{24}

{25872}/{528}

r^2

= 49
r = 7 cm
l =

√{r^2+h^2}

√{49+576}

√{625}

l = 25 cm.
Curved surface area = πrl
=

{22}/2 × 7 × 25

= 550

cm^2

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