Question

A doll is made by surmounting a cone on a hemisphere of equal radius. The
radius of the hemisphere is 7cm and slant height of the cone is 11cm. Find the
surface area of the doll.​

Answer 1

If the radius of the hemisphere is 7 cm and slant height of the cone is 11 cm, then the surface area of the doll is 550 cm².

Step-by-step explanation:

Required Formulas:

• Curved Surface area of the Cone = πrl

• Curved Surface area of the hemisphere = 2πr²  

It is given that,

A doll is made by a cone on a hemisphere

The equal radius of cone and hemisphere, r = 7 cm

The slant height of the cone, l = 11 cm

Therefore,

The curved surface area of the conical part of the doll = πrl = $\frac{22}{7}$ * 7 * 11 = 242 cm²

And,

The curved surface area of the hemisphere part of the doll = 2πr² = 2 * $\frac{22}{7}$ * 7² = 308 cm².

Thus,

The surface area of the doll is given by,

= [curved surface area of the conical part of the doll] + [curved surface area of the hemisphere part of the doll]

= 242 + 308

= 550 cm²  

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Answer 2

Answer = 550 cm.square

STEPS:

Surface area of doll = CSA of cone +CSA of hemisphere

radius= 7cm

Length =11cm

Hemisphere: r=7cm

Therefore surface area of doll =cone: πrl + 2πr²

 7 gets cancelled

Then you get the answer as  = 550 cm.square

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