If slant height of a cone is 13 cm and the base radius is 5 cm, then the height of cone is :
18cm
8cm
10cm
12cm
A
10cm
B
8cm
C
12cm
D
18cm
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Solution
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The correct option is A12cm Given, Slant height l=13cm
and Base radius r=5cm.
Now, in △AOB,
AB2=AO2+OB2
i.e. l2=h2+r2
⇒h=√l2−r2=√(13)2−(5)2
⇒h=√169−25=√144
⇒h=12cm.
∴ Height of the cone is 12cm.
Hence, option A is correct.
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