Q. 1

# A toy is made by mounting a cone onto a hemisphere. The radius of the cone and a hemisphere is 5 cm. The total height of the toy is 17 cm. Find the total surface area of the toy.

Answer :

Given.

A toy is made by mounting a cone onto a hemisphere

The radius of the cone and a hemisphere is 5 cm.

The total height of the toy is 17 cm

Formula used/Theory.

Curve surface area of Cone = πrl

Curve surface area of Hemisphere = 2πr^{2}

⇒ As we put Cone on hemisphere

The circle part of both cone and hemisphere will attach

∴ TSA of toy is sum of CSA of both cone and hemisphere

TSA of toy = CSA of cone + CSA of Hemisphere

=

=

As height of hemisphere is equal to radius of hemisphere

Then;

Height of cone = Height of Toy – Radius

= 17cm – 5cm

= 12 cm

TSA of toy

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