A toy is in the form of a cone mounted on a hemisphere of common base radius 7 cm. The total height of the toy is 31 cm. Find the total surface area of the toy.
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Solution
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Since total height of toy is 31cm,
So, the height of cone is (h)=31−7=24cm
Also,radius of cone(r)=7cm
Now, l=√72+242=√49+576=√625=25cm
Now, total surface area of toy=2πr2+πrl=πr(2r+l)
=227×7(14+25)cm2
=22×39=858sq.cm
Hence total surface area is 858 sq.cm
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