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A toy is made my joining a cone on the top of a hemisphere of equal diameter7cm. If the total height of toy is 31cm find its total surface area.​

Answer»

Answer:

Hey mate. Here's your answer.

Step-by-step explanation:

Given,a toy is MADE by JOINING a cone on the top of a HEMISPHERE of equal diameter 7 cm and the TOTAL height of toy is 31 cm.

The radius of the sphere = The radius of the cone = 7 cm

The height of the cone = total height - the radius of the sphere =(31-7) cm= 24 cm

r=radius of the sphere, h= height of the sphere

Then the slant height of the cone(l)

=√r²+h²

= √7²+24² cm

=√625 cm

=25 cm.

Therefore the surface area of the cone=πrl

=(22/7×7×25)cm²

=550 cm².

The surface area of the hemisphere is=2πr²

=2×22/7×7² cm²

=308 cm².

Therefore total surface area = (308+550) cm²=858 cm².

Hope this helps you. THANK you and please mark me the brainliest.



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