Question

A play-top is in the form of a hemisphere surmounted on a cone.The diameter of the hemisphere is 3.6cm The total height of the play-top is 4.2 cm.Find its TSA.

Answer 1

tsa = csa of cone + csa of hemisphere

Answer 2

Its TSA is $37.3032 cm^2$

Step-by-step explanation:

A play-top is in the form of a hemisphere surmounted on a cone

Diameter of hemisphere = 3.6 cm

Radius =$\frac{3.6}{2}=1.8 cm$

Curved surface area of hemisphere = $2 \pi r^2 = 2\times 3.14 \times 1.8^2=20.3472 cm^2$

Height of toy = 4.2 cm

Height of cone= Height of toy - Radius

Height of cone = 4.2 cm - 1.8 cm

Height of cone = 2.4 cm

Radius of cone = 1.8 cm

Curved surface area of cone = $\pi r \sqrt{h^2+r^2}=3.14 (1.8) \sqrt{2.4^2+1.8^2}=16.956 cm^2$

Total surface area of toy = $20.3472 cm^2+16.956 cm^2=37.3032cm^2$

Hence  its TSA is $37.3032 cm^2$

#Learn more:

A playing top (lattu) made up of wood has volume 231 cm 3 . it is shaped like a cone surmounted by a hemisphere of radius 3.5 cm. find the total height of the top

https://brainly.in/question/317932