Question

the height of the cone is 9m if base diameter is 24m what is it's slant height find the total surface area of the cone
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Answer 1

Step-by-step explanation:

Let slant height=l=?

Height of cone=h=9m

Radius of cone=r=d/2=24/2

=12m

Now, we know that,

l²=h²+r² (Pythagorous Theorum)

l²=9²+12²

l²=81+144

l²=225

l=√225

l=15m

Therefore, slant height=15m

Now, Total Surface Area of cone=πr(r+l)

=(22/7)*12(12+15)

=(22/7)*324

=1,018.285 m²

HOPE IT HELPS