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Question

If slant height of a cone is 13 cm and the base radius is 5 cm, then the height of cone is :

A
12cm
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B
8cm
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C
10cm
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D
18cm
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Solution

The correct option is D 12cm
Given, Slant height l=13cm
and Base radius r=5cm.

Now, in AOB,
AB2=AO2+OB2
i.e. l2=h2+r2
h=l2r2=(13)2(5)2
h=16925=144
h=12cm.

Height of the cone is 12cm.
Hence, option A is correct.

956990_84650_ans_3f0e55e222a14355867f82c884cc20cb.png

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