toy is formed by placing a solid circular cone on a solid hemisphere and the radius of the common base of the cone and the hemisphere is 15 cm. If the volume of the toy is 2850rcm", then find the total surface area of the that toy.
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toy is formed by placing a solid circular cone on a solid hemisphere and the radius of the common base of the cone and the hemisphere is 15 cm. If the volume of the toy is 2850rcm", then find the total surface area of the that toy.
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hii..
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=
7
2
+24
2
=
49+576
=
625
=25cm
Now, total surface area of toy=2πr
2
+πrl=πr(2r+l)
=
7
22
×7(14+25)cm
2
=22×39=858sq.cm
Hence total surface area is 858 sq.cm
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