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.

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 = 2πr2

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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